Question

Consider the series. What expression defines Sn

Answer 1

Answer:

Step-by-step explanation:

Answer is C

Answer 2

The expression which defines series is $S_{n}=3(\frac{1}{2}^{n} )$

To understand more, check the below explanation.

Sum series:

The given series is,

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

We have to find equivalent series.

           $\frac{3}{2} +\frac{3}{4} +\frac{3}{8} +\frac{3}{16} +.......\\\\=3(\frac{1}{2} +\frac{1}{4} +\frac{1}{8} +\frac{1}{16} +.......)\\\\=3(\frac{1}{2^{1} } +\frac{1}{2^{2} } +\frac{1}{2^{3} }+\frac{1}{2^{4} } +.......)\\\\S_{n}=3(\frac{1}{2}^{n} )$

Hence, the expression which defines series is $S_{n}=3(\frac{1}{2}^{n} )$.

Learn more about the series and sequence here:

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