Next Number of Series 91, 364, 819, 1456, ?

Mukund Manohar   7 years AGO

91,364,819,1456,__
1st term * 2^2 = 2nd term
1st term * 3^2 = 3rd term and so on
91 * 2^2 = 91 * 4 = 364
91 * 3^2 = 91 * 9 = 819
91 * 4^2 = 91 * 16 = 1456
91 * 5^2 = 91 * 25 = 2275

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A.P.Singh   7 years AGO

91,364,819,1456.. ??
91*1=91
91*(2)^2=364
91*(3)^2=819
91*(4)^2=1456
91*(5)^2=2275

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G.S.Kantharao   7 years AGO

91,364,819,1456.....=7*13,7*52,7*117,7*208....Hence the next one should be a multiple of 7.
In the given options 2275 only can be written as 7*325.(as a multiple of 7)
Hence my choice is 3

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Sakthivel   7 years AGO

91*4
91*9
91*16
91*25

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Ramgopal   7 years AGO

91* 1^1, 91 * 2^2, 91 * 3^2, 91* 4^2, 91 * 5^2
91, 364, 819, 1456, 2275

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sachchida nand singh   7 years AGO

91*1=91
91*(1+3)
91*4+5
91*9+7
91*(16*9)=2275

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Vivek Agarwal   7 years AGO

364-91=273, 819-364=455, 1456-819=637
455-273=182, 637-455=182
so constant difference
637+182=819
and 1456+819=2275

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himanshu kumar   7 years AGO

91*4=364
91*9=819
91*16=1456
91*25=2275

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Dharmendra kumar   7 years AGO

this pattern following....
10^2 - 3^2 , 20^2 - 6^2 , 30^2 - 9^2 , 40^2 - 12^2 , 50^2 - 15^2
so ans is 2275

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Pragati Rode   7 years AGO

first element = 91 = 10^2 - (3*1)^2
second element = 364 = 20^2 - (3*2)^2
third element = 819= 30^2 - (3*3)^2
fourth element =1456 = 40^2 - (3*4)^2
so required number is = 50^2 - (3*5)^2=2500-225 = 2275
so option is 3

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Abhishek Gupta   7 years AGO

91 * 1 = 91
91 * 2^2 = 364
91 * 3^2 = 819
91 * 4^2 = 1456
91 * 5^2 = 2275

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Siva   7 years AGO

9×10+1=91
9×40+4=364
9×90+9=819
9×160+16=1456
9×250+25=2275

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MOHD FARHAN   7 years AGO

Answer
91×4=364
91×9=819
91×16=1456
91×25=2275
Thus answer is 2275

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Sujata   7 years AGO

It can be seen that, the first number 91 is formed using 3*3 and 1, similarly,
364 = 6*6 and 4 (1+3)
819 = 9*9 and 9 (4+5)
1456 = 12*12 and (9+7= 16) and ( 144+1 and 6 is 1456)
So the last one is,
(15*15 = 225 ) and ( 16+9= 25 and 225+2 and 5 is 2275) so option is 3

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Ansh   7 years AGO

The no. is of the form ab... where a= a^2 (a=3,6,9,12.....)
while b=square of real no's...
combining there two we get the ans which is 2275

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Veera Vignesh   7 years AGO

91*2^2=364
91*3^2=819
91*4^2=1456
91*5^2=2275

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Ajay Sharma   7 years AGO

91*1=91
91*4=364
91*9=819
91*16=1456
so series of second term in multiplication is= 1,4,9,16,?
hence next term is 25
==> 91*25=2275

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SATHEESH V   7 years AGO

91*(1^2)=91
91*(2^2)=364
91*(3^2)=819
91*(4^2)=1456
91*(5^2)=2275

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Athulya   7 years AGO

Step 1-->364 - 91 =273, 819 - 364=455 ; 1456 - 819 = 637
Step 2--->455 - 213=182 ; 637 - 455=182
therefore--> 637 + 182 = 819
1456 + 819=2275

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Neeraj   7 years AGO

91
91*2^2=364
91*3^2=819
91*4^2=1456
91*5^2=2275

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pujithabollareddy   7 years AGO

9*1=91,9*[1+3]=364,9*[1+3+5]=819,9*[1+3+5+7@]=1456,9*[1+3+5+7+9]=2275
The no multipled is appended in units place

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Dhaneshwar Prasad   7 years AGO

91=3^2_1^2
364=6^2_2^2
819=9^2_3^2
1456=12^2_4^2
2275=15^2_5^2
ans = 2275

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SORNA KAMALAM S   7 years AGO

91*1*1=91
91*2*2=364
91*3*3=819
91*4*4=1496
91*5*5=2275

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boby   7 years AGO

the second number is obtained by multyplyng the number with 2 square and the third by 3 square and so on...

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sravya   7 years AGO

91*4=364
91*9=819
91*16=1456
91*25=2275
we are multiplying 91 with square roots of 1,2,3,4,5

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Aishwarya Jaiswal   7 years AGO

all the no.s in series are divisible by 91 i.e, first term of the series and option 3 i.e, 2275 is also divisible by 91. so, that one is the correct answer.

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Lakshmi Narayanan.k   7 years AGO

91,364,819,1456
91*4=364
91*9=819
91*16=1456
91*25=2275

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Aravindhalochanan   7 years AGO

seq
91*4=364
91*9=819
91*16=1456

we take
9-4=5
16-9=7

next no will be 9
16+9=25

so 91*25=2275

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Deep   7 years AGO

simply multiply 91 with 2^2 then 3^2 , 4^2 and finally 5^2 =25 with 91 we get 2275

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Divya   7 years AGO

5-3 for first would
9×3=27
1×5=5
hence ans is 2275

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Quazi Mohammadi   7 years AGO

91*(1^2)=91*1=91
91*(2^2)=91*4=364
91*(3^2)=91*9=819
91*(4^2)=91*16=1456
91*(5^2)=91*25=2275

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Anandita Rani   7 years AGO

13 * 7 = 91
13 * 28 = 364
13 * 63 = 819
13 * 112 = 1456
13 * 175 = 2275

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HARSHIT GUPTA   7 years AGO

9*1=9(90+1=91)
9*4=36(360+4=364)
9*9=81(810+9=819)
9*16=144(1440+16=1456)
9*25=225(2550+25=2275)

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Chirag Kothari   7 years AGO

91*4
91*9
91*16
91*25

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Pulok Barik   7 years AGO

(9*9)+(1*1+10)=91
(18*18)+(2*2+10)=364
(27*27)+(3*3+10)=819
(36*36)+(4*4+10)=1456
(45*45)+(5*5+10)=2275

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Diksha negi   7 years AGO

364 - 91 = 3*91
819 - 364 = 5*91
1456 - 819 = 7*91
x - 1456 = 9*91
x = 811+1456
=2275

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raghav   7 years AGO

91*1=91
91*4=364
91*9=819
91*16=1456
91*25=2275

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shilpa   7 years AGO

1^2*91=91
2^2*91=364
3^2*91=819
4^2*91=1456
5^2*91=2275

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Shrishti Jain   7 years AGO

The difference between the previous two numbers is added with the previous number and 182.For e.g. the difference between 1456 and 819 is 637.To obtain the next term we will add 637 with 182 and 1456 and the answer that is obtained is 2275.

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