2 years ago

What is the solution to 4 to the 3rd power =y

Mathematics

1 answer:

JulsSmile [24]2 years ago

7 0

I think the answer is 64

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Rina8888 [55]

Answer:

$S_\infty=250$ .

Step-by-step explanation:

The given infinite series is $50+40+32+\frac{128}{5}+...$ .

The first term of this series is $a_1=50$ .

The common ratio is $r=\frac{40}{50}$ .

$\Rightarrow r=\frac{4}{5}$ .

The sum of this infinite series is given by the formula,

$S_\infty=\frac{a_1}{1-r}$

We now substitute all the above values in to this formula obtain,

$S_\infty=\frac{50}{1-\frac{4}{5}}$

This implies that,

$S_\infty=\frac{50}{\frac{1}{5}}$

This simplifies to,

$S_\infty=50\times 5$

$S_\infty=250$ .

The correct answer is C.

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