Latest TCS Aptitude Question SOLUTION: A series is given 1,6,7,13,20,33,........and so on.Find the sum of first 52 terms. a]192847456374 b]243768954321 c]287621088425 d]357849113670

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(#M40039071) TCS Numerical Ability question number series Keep an EYE

A series is given 1,6,7,13,20,33,........and so on.Find the sum of first 52 terms.

a]192847456374
b]243768954321
c]287621088425
d]357849113670

Asked In TCS Anitha (9 years ago)

Unsolved Read Solution (13)

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Read Solution (13) :

Kethineni Vinodh  (9 years ago)

Ans: 352849113670
1st and 2nd terms are 1,6
3rd term is 7 which is sum of first+second.
4th term is 13 which is sum of second + third.
Expanding the series further by adding a few more terms, it is
1, 6, 7, 13, 20, 33, 53, 86, 139 and so on.

Now if we add the terms for upto 1,2,3,4,5,6 terms it is
1, 7, 14, 27, 47, 80, 133, 219 and so on.

Hence we can infer the sum upto Nth term is (N+2)nd term - 6
As 1+6+7 is sum upto 3 terms and it is 5th term minus 6= 20-6 = 14
As 1+6+7+13+20+33+53 is sum upto 7 terms and it is 9th term minus 6 = 139-6 = 133

Hence sum upto 52nd term is nothing but 54th term -6.

Now our task is to find 54th term.
Using the golden ratio we can easily find the 54th term. But we will just find few more terms for accuracy.
1, 6, 7, 13, 20, 33, 53, 86, 139, 225, 364, 589, 953, 1542 which is upto 14 terms.

So 54th term = 1542 * (1.6180339)^40 = 352849113676 approx
Hence sum will be 352849113676-6 = 352849113670

Is this solution Helpfull? Yes (15) | No (2)  

deepak  (9 years ago)

Can u send me paper of TCS ??

Is this solution Helpfull? Yes (14) | No (26)  

ganesh babu  (9 years ago)

1
6
7
13
20
33
53
86
139
225
364
589
953
1542
2495
4037
6532
10569
17101
27670
44771
72441
117212
189653
306865
496518
803383
1299901
2103284
3403185
5506469
8909654
14416123
23325777
37741900
61067677
98809577
159877254
258686831
418564085
677250916
1095815001
1773065917
2868880918
4641946835
7510827753
12152774588
19663602341
31816376929
51479979270
83296356199
134776335469

ANS:352849027131

Is this solution Helpfull? Yes (3) | No (20)  

Vaka Syam Prasad Reddy  (9 years ago)

@swayanti bhaumik ,

You can't predict the answer . Also it may sum upto even number of times , it can't be even as it includes both even and odd numbers in it .

Is this solution Helpfull? Yes (2) | No (1)  

gautam gaurav  (9 years ago)

add last digit only
we get as last digit as 1

Is this solution Helpfull? Yes (2) | No (4)  

prateek khanna  (9 years ago)

can anybody explain the ans

Is this solution Helpfull? Yes (2) | No   

Swayanti Bhaumik  (9 years ago)

A should be the answer...
Number should be even and last digit should be non zero

Is this solution Helpfull? Yes (1) | No (5)  

virendra tiwari  (9 years ago)

plz any bdy snd me tcs question,,devirtiwari011@gmail.com

Is this solution Helpfull? Yes | No   

ananth  (9 years ago)

answer is b

Is this solution Helpfull? Yes | No   

KARTHIKKUMAR A  (9 years ago)

ananth how will you solve it

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Priyanshu Agrawal  (9 years ago)

Can u send me paper of TCS ??
my mail id is priagr@live.in

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priya  (9 years ago)

how we will find 54th term, so that can obtain sum upto 52th term?

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Anshul jain  (8 years ago)

how solve this question??????

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