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

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

A. 8

B. 1

C. 4

D. 2

QUICK ANSWER…

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

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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