Question

How do I find the sum of the geometric sequence `3/2`, `3/8`?

Answer 1

Sum of the infinite series = 2

Explanation:

Apparently, sum of the series is required, having infinite number of terms, unless something contrary is stated. Write the series as 3 [`1/2, 1/8, ...`]. 1st term of the series is 1/2 and common ratio is 1/4. Formula for sum of an infinite geometric series(common ratio less than 1) is `a/(1-r)` = `1/2 /(1-1/4)`= `1/2 *4/3` = `2/3`

Sum of the given series =`3*2/3` =2