The sum of the first n terms of a sequence is 20 - 10 / 2 ^ n - 1 find the sum of the first five terms

Question

asked Aug 24, 2022 112k views

1 Answer

Arxoft · Answer 1 · 2022-08-30T21:48:21+0000

Answer:

S_5=(170)/(9)

Explanation:

Given that,

The sum of first n term of a sequence is
S_n=20-(10)/(2n-1)

We need to find the sum of the first 5 terms.

Put n = 5,

$S_5=20-(10)/(2(5)-1)\\\\=20-(10)/(10-1)\\\\=20-(10)/(9)\\\\=(170)/(9)$

So, the sum of first 5 terms is equal to
(170)/(9) .