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

1 Answer
bp
Jun 23, 2015

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

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