0,2,2,0,-2
The first five terms of a sequence are shown up .after the second each term can be obtained by subtracting from the previous the term before the previous term .what is the sum of the first 69 terms.
Asked by Kchawla94
27th February 2019,
5:08 PM
Answered by Expert
Answer:
The sequence is 0 2 2 0 -2 -2 0 2 2 0 -2 -2 0 2 2 0 -2 -2......etc
It can be observed that a sequence of 6 terms 0 2 2 0 -2 -2 repeats every time. The sum of this 6 term sequence is zero.
In 69 terms we have 11 repetitions of this 6 term sequence giving a total 0.
Hence 67-th to 69-th terms are 0 2 2 , and their sum is 4
Hence the overall sum of first 69 terms is 4
Answered by Expert
28th February 2019,
10:19 AM
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