Latest TCS Aptitude Question SOLUTION: 1,6,7,13,20.....Find the sum of first 52 terms!

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1,6,7,13,20.....Find the sum of first 52 terms!

Asked In TCS Karthika (10 years ago)

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Bhagyasri  (10 years ago)

352849027131

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Karthika  (10 years ago)

@ Bhagyasri..can yu please explain how?

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yanna raskala  (10 years ago)

6+1=7
7+6=13
13+7=20
.... go on adding :p

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shubhankar barman  (10 years ago)

as 1+6+7 is sum upto 3rd tem n it is 5th term -6, similarly
as 1+6+7+13+20+33+53 is sum upto 7th term and is equal to 9th term 139-6=133
hence sum upto 52nd term is 54th term-6
using golden ratio we can solve this, bt to be more accurate we calculate a few more terms. 1,6,7,13,20,33,53,86,139,225,364,589,953,1542....
thus 54th term= 1542*(1.6180339)^40
hence sum upto 52nd term is 352849113676-6=352849113670

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