For the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula [tex]3(\dfrac{1}{2})^n[/tex].
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:
[tex]\dfrac{3}{2}+\dfrac{3}{4}+\dfrac{3}{8}+\dfrac{3}{16}+............[/tex]
The sum of the series will be given as:
[tex]S_n=3(\dfrac{1}{2}+\dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+............)[/tex]
[tex]S_n=3 (\dfrac{1}{2})^n[/tex]
Hence for the series 3/2 + 3/4 + 3/8 + 3/16 + ...the sum will be calculated by the formula [tex]3(\dfrac{1}{2})^n[/tex]
To know more about number series follow
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