Question

Consider the series 3/2 + 3/4 + 3/8 + 3/16 + ... What expression defines Sn?

Answer 1

For the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula  $3(\dfrac{1}{2})^n$.

What is number series?

When the numbers are arranged in a series with some logic then it is called as the number series.

here we have a series:

$\dfrac{3}{2}+\dfrac{3}{4}+\dfrac{3}{8}+\dfrac{3}{16}+............$

The sum of the series will be given as:

$S_n=3(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+............)$

$S_n=3 (\dfrac{1}{2})^n$

Hence for the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula  $3(\dfrac{1}{2})^n$

To know more about number series follow

brainly.com/question/6561461

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