# Find the sum to infinity of the series 2 + 3/2 + 9/8 + 27/32 +

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A. 8

B. 1

C. 4

D. 2

A

## DETAILS…

Sum to infinity is a term often used in math to refer to the summation of all possible terms of a geometrical progression (GP) whose common ratio is less than 1.

For the above series,

first term a = 2,

common ratio r = 3/2 ÷ 2 = 3/4

but the right formula used to calculate sum to infinity of a GP is given as:

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### Now for the right answer to the above question:

1. Option A is correct.
2. Option B is incorrect.
3. C is incorrect.
4. D is not the correct answer.

## KEY-POINTS…

You may please note these/this:

• Sum to infinity = a/(1 – r)
• The sum to infinity of a GP can only be determined if and only if the common ratio is less than 1.
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/ culled from 2020 JAMB-UTME mathematics past question 29 /

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