2 years ago

Helpppppp!!!!!!!!!!!!!

Mathematics

1 answer:

inn [45]2 years ago

4 0

The answer is 5/11...

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THE SUM 10 INFINITY OF A GEOMETRIC SERIES IS 100. FIND THE TERM IF THE COMMON FIRST RATIO IS - 1/2

zhuklara [117]

Answer:

a = 150

Step-by-step explanation:

<u>Sum to infinity of a geometric series</u>

$S_{\infty}=\dfrac{a}{1-r}\:\textsf{ for }|r| < 1$

where:

a is the first term
r is the common ratio

Given:

$S_{\infty}=100$

$r=-\dfrac{1}{2}$

Substitute the given values into the formula and solve for a:

$\begin{aligned}S_{\infty} & =\dfrac{a}{1-r}\\\\\implies 100 & =\dfrac{a}{1-\left(-\frac{1}{2}\right)}\\\\ 100 & =\dfrac{a}{1+\frac{1}{2}}\\\\100 & = \dfrac{a}{\frac{3}{2}}\\\\a & = \dfrac{3}{2} \cdot 100\\\\a & = 150\end{aligned}$

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Ann is moving from Houston to McKinney and rented a truck from U-Move truck rentals. The cost of a one-day truck rental is given

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Answer:

D $170

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you take the 260 and you plug it in for m and then solve

0.5(260) + 40 = 130 + 40

130 + 40 = 170

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3 years ago

What is the value of n in the proportion below?

Illusion [34]

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Answer:

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