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zaharov [31]
4 years ago
5

Question

Mathematics
1 answer:
Yanka [14]4 years ago
3 0

Answer:

b or 150

Step-by-step explanation:

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Consider the series 3/2 + 3/4 + 3/8 + 3/16 + ... What expression defines Sn?
snow_lady [41]

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

<h3>What is number series?</h3>

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

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brainly.com/question/6561461

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