What is the next number of the following sequence 1, 4, 13, 40,......

M4maths Previous Puzzles

30 Jun 2014 Sequence What is the next number of the following sequence 1, 4, 13, 40,......: OPtion
1) 94
2) 64
3) 49
4) 56
5) 121
6) 157
7) 164
8) 136
9) 78
10)None of these; Correct Option: 5 Best Solution (105)

arti jaiswal 9 years AGO

1*3+1=4
4*3+1=13
13*3+1=40
40*3+1=121

Like? Yes (26) | No (8)

Nikhill Jaynat Supekar 9 years AGO

1*3=3+(1)=4
4*3=12+(1)=13
13*3=39+(1)=40
so 40*3=120+(1)=121

Like? Yes (12) | No

D.Sree Navya 9 years AGO

1,4,13,40..
Difference between the numbers is 3,3*3,9*3 then last 27*3=81 therefore 40+81=121

Like? Yes (13) | No (3)

Sundar Kumar 9 years AGO

1+3^0=1 , 1+3^1=4 , 4+3^2=13 , 13+3^3=40 , 40+3^4= 121

Answer : option 5) 121

Like? Yes (15) | No (10)

vinothkumar.R 9 years AGO

1+3=4
4+9=13
13+27=40
40+81=121

Like? Yes (10) | No (5)

Sneha 9 years AGO

1 4 13 40 121
4-1=3=3
13-4=9=3*3
40-13=27=3*3*3
121-40=81=3*3*3*3

Like? Yes (6) | No (2)

sharath chandra kumar 9 years AGO

121
because 40*3+1

Like? Yes (4) | No (2)

Ankur Tamrakar 9 years AGO

Each term is added with powers of 3.
So 40+(3^4)=121. So 5)120 is the answer.

Like? Yes (4) | No (2)

NIRUPOM GHOSH 9 years AGO

3^4(next no is 40+81=121)

Like? Yes (2) | No

Anand Singh 9 years AGO

1
1+3=4
4+3^2=13
13+3^3=40
40+3^4=121

Like? Yes (1) | No

Liti 9 years AGO

1*3+1
4*12+1
13*3+1
40*3+1=121

Like? Yes (2) | No (1)

Rasika Sangle 9 years AGO

difference 3,9,27,81

Like? Yes (1) | No

Devesh Agrawal 9 years AGO

difference between the consecutive numbers is 3,9,27,... So, next difference should be 81. Hence, next number will be 40+81 = 121.

Like? Yes (1) | No

Vamsi 9 years AGO

4-1 = 3 = 3^1
13-4 = 9 = 3^2
40-13 = 27 = 3^3
let next no be x
x-40 = 3^4 = 81
hence x = 121

Like? Yes (1) | No

gowthami 9 years AGO

1+3=4
4+9=13
13+27=40
40+81=121

Like? Yes (1) | No

Amit Agrawal 9 years AGO

series difference is....
3,9,27... so next difference will be 81
and 40 +81=121

Like? Yes (1) | No

Md Intshamuddin 9 years AGO

1
4==1+3
13==1+3+3^2
40==1+3+3^2+3^3
so next number will be
1+3+3^2+3^3+3^4=121

Like? Yes (2) | No (2)

RAKESH 9 years AGO

40*3+1=121

Like? Yes (2) | No (2)

Krupa Pareshkumar Shah 9 years AGO

difference between 1 & 4 =3 (1*3)
4 & 13=9 (3*3)
13 & 40=27 (9*3)
so...(27*3)=81 so 40+81= 121ans

Like? Yes (1) | No (1)

abhilash kumar 9 years AGO

Consider the sequence 1 4 13 40
Here the difference bw terms 3 9 27 where each proceeding term is multiplied by 3 to get next term
So the next term is 40+27*3= 40+81=121

Like? Yes (1) | No (1)

Vijit Mangla 9 years AGO

the difference of the consecutive terms is a GP with first term =4-1=3
second term =13-4=9
third term =40-13=27
so common ratio is 9/3=27/9 = 3
now the next term is found by adding 3*3*3*3=81
therefore 40+81= 121

Like? Yes (1) | No (1)

Alok Mandal 9 years AGO

Difference between 1 and 4 = 3,
Difference between 4 and 13 = 9,
Difference between 13 and 40 = 27
There is difference of 3*3=9*3=27*3=81
So add 81 to previous no i.e. 40,
81+40=121

Like? Yes (2) | No (2)

Dinesh kumar 9 years AGO

1+3=4
4+3^2=13
13+3^3=40
40+3^4=121
ans = 121

Like? Yes (1) | No (1)

paaredi muthyam reddy 9 years AGO

1,4,13,40
the difference between the numbers is in the powers of 3.i.e.,3,9,27,81....
so the next number is 81+40=121

Like? Yes (1) | No (1)

Ravi Kumar Kodari 9 years AGO

Given: 1,4,13,40
1+3^1=3
4+3^2=13
13+3^3=40
40+3^4=121 ans.

Like? Yes (1) | No (1)

Ambuj tiwari 9 years AGO

Difference between no is in form of 3 ,3^2,3^3,3^4

Like? Yes (1) | No (1)

amit baranga 9 years AGO

difference between each term is muliple of 3 in a particular pattern, 3, 9, 27.. next will be 81, add 81 to 40
ans 121

Like? Yes (1) | No (1)

Tark Patel 9 years AGO

Difference between two numbers is multiple of 3.
(4-1)=3 , (13-4)=9 which is 3^2 , (40-13)=27 which is 3^3.
Hence next number is 121 (next is 3^4, 40+81=121).

Like? Yes (1) | No (1)

Bhavna 9 years AGO

1,1*3+1,4*3+1,13*3+1,40*3+1

Like? Yes (1) | No (1)

kapil singh 9 years AGO

look at d diffrences they are in multiple of 3
i.e.
1+3=4
4+3*3=13
13+3*3*3=40
so,
40+3*3*3*3=121
thats our ans! ;)

Like? Yes (4) | No (4)

vandana 9 years AGO

the series is increasing in the order that the number is being added by the increasing power of 3,=>1,1+3^1=4,4+3^2=13,13+3^3=40,40+3^4=121,so option 5 is the answer=121

Like? Yes (1) | No (1)

Aalvin 9 years AGO

4-1=3
13-4=9
40-13=27
difference is in multiples of 3
therefore next number is 40+81=121

Like? Yes (1) | No (1)

sona 9 years AGO

121 is the answer.
1+3=4
4+9=13
13+27=40
here series of 3 to the power n is going on where n=1,2,3..
therefore next term will be
40+81=121 i.e 3*3*3*3=81

Like? Yes (1) | No (1)

vamshikrishna kuruva 9 years AGO

1+3=4
4+3*3=13
13+3*3*3=40
40+3*3*3*3=121

Like? Yes (1) | No (1)

Rivu Sengupta 9 years AGO

4-1=3
13-4=9
40-13=27
121-40=81

Like? Yes (1) | No (1)

Hanish 9 years AGO

as difference is in the order of 3^x where x=1,2,3,4.....

Like? Yes (1) | No (1)

Rashmi bharti 9 years AGO

40+27*3=121

Like? Yes (1) | No (1)

pawan kumar chhipa 9 years AGO

3 times + 1 of last digits

Like? Yes (1) | No (1)

YUVA 9 years AGO

SEQUENCE IS IN CUBE OF 3

Like? Yes (1) | No (1)

vaibhav soni 9 years AGO

4-1=3=3^1
13-4=9=3^2
40-13=27=3^3

so answer will be = 40+(3^4)=121

Like? Yes (1) | No (1)

Dinesh Arora 9 years AGO

4-1=3
(3*3)+4=13
13-4=9
(9*3)+13=40
40-13=27
(27*3)+40=121

Like? Yes (1) | No (1)

pankaj kumar 9 years AGO

1 , 1+3, 4+9, 13+27, similarly
40+81 =121

Like? Yes (1) | No (1)

pritam kumar singh 9 years AGO

4-1=3
13-4=9
40-13=27
x-40=81
x=121.

Like? Yes (1) | No (1)

Logesh 9 years AGO

4-1=3
13-4=9(3*3)
40-13=27(9*3)so
121-40=81(27*3)
So Ans is 121

Like? Yes (1) | No (1)

Varunraj Reddy 9 years AGO

1,4,13,40,...
differences are 3,9,27,...
next difference is 27*3=81
So next number is 40+81=121

Option 5)

Like? Yes (1) | No (1)

aviral gupta 9 years AGO

4-1=3
13-4=9
40-13=27
so next number would be 81 greater than the preious number
so next number is 40+81=121

Like? Yes (1) | No (1)

neha gupta 9 years AGO

let no is a, then, 4-1=3, 13-4=9, 40-13=27
so, the diff is increased by table of 3.
hence, a-40=81
a=40+81=121.
next no is 121.

Like? Yes (1) | No (1)

Satish Zod 9 years AGO

40 * 3 + 1 = 121

Like? Yes (1) | No (1)

Garima 9 years AGO

1*3=3+1=4
4*3=12+1=13
13*3=39+1=40
40*3=120+1=121

Like? Yes (1) | No (1)

anusha 9 years AGO

1 4 13 40 y
3 9 27 x

40+81=121

Like? Yes (1) | No (1)

vinusha reddy 9 years AGO

1x3+1=4
4x3+1=13
13x3+1=40
40x3+1=121

Like? Yes (1) | No (1)

Sanjeev jain 9 years AGO

here,in first number increment by 3 then with 2nd number increment by 9.viceversa.....increse series with n*3.

Like? Yes (1) | No (1)

Brindha.N 9 years AGO

1+3=4,4+9=13,13+27=40,40+81=121.answer is 121.each number is multipled by 3

Like? Yes (1) | No (1)

ATTARU NASIMUNNI 9 years AGO

from 1 to 4 difference is 3
4 to 13 difference is 3*3 = 9
13 to 40 difference is 9*3 = 27
after 40 the number is 40+(27*3) = 121

Like? Yes (2) | No (2)

RANJAN KUMAR PANDIT 9 years AGO

4-1=3
13-4=9
40-13=27
121-40=81

Like? Yes (1) | No (1)

bandi gowthami 9 years AGO

1+3=4
4+9=13
13+27=40
40+81=121

Like? Yes (1) | No (1)

Rohan Kumrawat 9 years AGO

4-1=3
13-4=9
40-13=27
so....121-40=81

Like? Yes (1) | No (1)

T.Aravinth kumar 9 years AGO

40+81=121

Like? Yes (1) | No (1)

Amrita 9 years AGO

1+3=4
4+(3*3)=13
13+(3*3*3)=40
40+(3*3*3*3)=121

Like? Yes (1) | No (1)

sravani 9 years AGO

121 (4-1=3,
13-4=9,
40-13=27,
121-40=81)

Like? Yes (1) | No (1)

Bobby Nayak 9 years AGO

3^0+0=1
3^1+1=4
3^2+4=13
3^3+13=40
3^4+40=121
answer is option 5:121

Like? Yes (2) | No (2)

nagineni sukumar 9 years AGO

difference of no's are 3,9,27,81...
the answer is 121

Like? Yes (1) | No (1)

ananthavalli 9 years AGO

The difference between the sequence is multiples of 3
1+3=4
4+9=13
13+27=40
similarly 40+81=121
so option 5) is correct

Like? Yes (1) | No (1)

Soham Dalwadi 9 years AGO

the pattern is by multiples of 3 added to the preceding number;

example, 1+3= 4 that's 3
4+9=13 because 3*3 is 9
13+27=40 coz 9*3 is 27
40+81=121

Like? Yes (1) | No (1)

vishalgoyal 9 years AGO

40+81=121

Like? Yes (1) | No (1)

surabhi 9 years AGO

(1*3)+1=4
(4*3)+1=13
(13*3)+1=40
similarly
(40*3)+1=121

Like? Yes (2) | No (2)

harish 9 years AGO

the diffrence between the numbers is in powers of 3
like 4-1=3
13-4=9=3*3
40-13=27=3*3*3
x-40=3*3*3*3 =>x=121

Like? Yes (1) | No (1)

Shanmugapriya 9 years AGO

Difference between 1,4=3^1
Difference between 4,13=3^2
Difference between 13,40=3^3
Difference between 40,x=3^4=81
so 40+81=121

Like? Yes (1) | No (1)

D.Gnaphika 9 years AGO

4-1=3
13-4=9
40-13=27
x-40=81
x=40+81=121

Like? Yes (1) | No (1)

MANOJ KUMAR MAHANTA 9 years AGO

(1*1)+3=4
(4*3)+1=13
(13*3)+1=40
(40*3)+1=121

Like? Yes (1) | No (1)

Meenakshi Nagchaudhuri 9 years AGO

40+ (27*3)

Like? Yes (1) | No (1)

Shashi nath jha 9 years AGO

4-1=3
13-4=9
40-13=27
121-40=81

Like? Yes (2) | No (2)

sivaraman 9 years AGO

1-4=3
3*3=9+4=13
9*3=27+13=40
27*3=81+40=121

Like? Yes (1) | No (1)

Narendra 9 years AGO

Look at the differences:
1 4 13 40 121
3 9 27 81

Like? Yes (1) | No (1)

jennifer mary 9 years AGO

1
4
1+3=4
4+0=4
1+2+1=4
after the first number ,the sum of all the digits is equal to 4

Like? Yes (2) | No (2)

Anupam Banerjee 9 years AGO

1 + 3^1 = 4
4 + 3^2 = 13
13 + 3^3 = 40
40 + 3^4 = 121

So, the next no. is = 121;

Like? Yes (1) | No (1)

sivasridola 9 years AGO

1-4=3 4-13=9 13-40=27 40-121=81

Like? Yes (1) | No (1)

Shivani Enabotula 9 years AGO

1,1x3+1=4,4x3+1=13,13x3+1=40,...
Therefore 40x3+1=121

Like? Yes (1) | No (1)

suhana 9 years AGO

1,(1*3)+1=4,(4*3)+1=13,(13*3)+1=40,(40*3)+1=121

Like? Yes (2) | No (2)

abhinav jain 9 years AGO

to get next digit = (previous number*3+1)

answer is = option 5

Like? Yes (1) | No (1)

Arpan Bhattacharyya 9 years AGO

difference between tow no in the form of 3^n

Like? Yes (1) | No (1)

Udhaya kumar 9 years AGO

x+3power n ...

Like? Yes (1) | No (1)

Talluri Harish 9 years AGO

4-1=3^1
13-4=3^2
40-13=3^3
x-40=3^4
=>x=121

Like? Yes (1) | No (1)

mayank gahlot 9 years AGO

the series goes as follows:

1+3^1=4;
4+3^2=13;
13+3^3=40;
40+3^4=121(option 5)

Like? Yes (1) | No (1)

Abhishake Agarwal 9 years AGO

1*3+1=4
4*3+1=13
13*3+1=40
40*3+1=121

Like? Yes (1) | No (1)

naveenkumar 9 years AGO

1*3=3+1=4
4*3=12+1=13
13*3=39+1=40
40*3=120+1=121

Like? Yes (1) | No (1)

Gourango 9 years AGO

0*3+1=1
1*3+1=4
4*3+1=13
13*3+1=40
40*3+1=121

Like? Yes (1) | No (1)

susmit 9 years AGO

difference of 3,9,27
so the next difference will be 81
so the next number will be 40+81=121

Like? Yes (1) | No (2)

SHEREENA NISHAD 9 years AGO

1 + (3^1) = 1 + 3 = 4
4 + (3^2) = 4 + 9 = 13
13+ (3^3) = 13 + 27 = 40
40+ (3^4) = 40 + 81 = 121

Like? Yes (1) | No (2)

Saraswathy 9 years AGO

Difference is successive powers of 3

1, 4, 13, 40, x
4 - 1 = 3^1
13 - 4 = 3^2
40 - 13 = 3^3
x - 40 = 3^4
x = 121

Ans : 121 ( Option 5)

Like? Yes (1) | No (2)

Devendra Marghade 9 years AGO

1+3^1= 1+3=4
4+3^2= 4+9=13
13+3^3=13+27=40
40+3^4=40+81=121

Like? Yes (1) | No (2)

Mahalakshmi 9 years AGO

1 + 3 = 4
4 + 9 = 13
13 + 27 = 40
40 + 81 = 121
so ans is 5)121

Like? Yes (3) | No (4)

Yogesh 9 years AGO

1*3+1=4
4*3+1=13
13*3+1=40
40*3+1=121

Like? Yes (1) | No (2)

shree 9 years AGO

Lik lik hi hi

Like? Yes (1) | No (2)

Mohammed Farook.S 9 years AGO

Find the difference of each number so we can get. The answer

Like? Yes (1) | No (2)

Vishal Chugh 9 years AGO

The series given is:1,4,13,40
Differences between the numbers are 3,9,27 respectively,i.e.,the numbers are multiplied by 3 for each consecutive number.

Therefore the next difference will be 81 and the number 40+81=121

Like? Yes (1) | No (2)

Veepuru Manoj 9 years AGO

difference is power of 3

Like? Yes (1) | No (2)

RANDHIR KUMAR 9 years AGO