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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:**

**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.**

**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.****If you love our answers, you can login to comment and say hi to us at the comment section…**

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**/ culled from 2020 JAMB-UTME mathematics past question 29 /**