Latest TCS Aptitude Question SOLUTION: A series is given as 1,6,7,13,20,33,.......and so on Find the sum of first 52 terms

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

Asked In TCS Deblina Manna (10 years ago)

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Pratyusha Bhadra  (10 years ago)

@VEERANARAYANA...hw it is coming in AP?20-13=7 but 33-20=13..plz explain.i thnk it is a Fibonacci series...i dnt knw hw to calculate the sum of fibo series.plz tl me if ne 1 knws dat

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divyasha  (10 years ago)

352849027131 this is the answer

Is this solution Helpfull? Yes (5) | No (4)  

Bidisha Kundu  (10 years ago)

subrata pal can u plz tel me how to get the 54th fibonacci no.???

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Ushashi Das  (10 years ago)

hw can u obtain 54th term?

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veeranarayana  (10 years ago)

let take 1=a1 and 6=a2 then 7=a1+a2,13=2a2+a1,....
except first three terms all are in AP so
s=n/2(2a+(n-1)*d)
=51/2(2+50*7)
over all sum=s+14
8990

Is this solution Helpfull? Yes (1) | No (15)  

sonam shally  (10 years ago)

guys plz dont give those answers which are absolutely absurd..it totally confuses the students mind....so plz give the proper solutions..

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Rajat Subhra Bhowmick  (10 years ago)

7=6*1+1*1
13=6*2+1*1
20=6*3+1*2
LIKE THIS TOTAL 6 ARE 6(1+2+3.....50)FOR 52 TERM ..USING N(N+1)/2.....7650
LIKE THIS TOTAL 6 ARE 1+1*(1+2+3.....50)FOR 52 TERM ..USING N(N+1)/2....1+1275=1276
THE 1ST AND 2ND TERM SUM IS... 7
SO TOTAL IS 1276+7+7650....8933

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Subrata Pal  (10 years ago)

The given series in in fibonacci series.
The sum of the first n Fibonacci numbers is the (n + 2)nd Fibonacci number minus 1.
So the sum of first 52fibonacci numbers is 54th fibonacci number - 1.
The 54th fibonacci number is 32951280100
So, answer is 32951280100-1=32951280099

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chaitu  (10 years ago)

80 is the answer

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veeranarayana  (10 years ago)

sorry above instead of 51 take 52-3=49
ans:8295

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vedansh  (10 years ago)

pls give us the proper solution.. :(

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