Find the sum to infinity of the series 2 + 3/2 + 9/8 + 27/32 +
Find the sum to infinity of the series 2 + 3/2 + 9/8 + 27/32 + —
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:
Now for the right answer to the above question:
- Option A is correct.
- Option B is incorrect.
- C is incorrect.
- D is not the correct answer.
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 /