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3 years ago

13

What is the sum of the first 12 terms of the geometric series below 1/2+2+8+32+

1 answer:

Georgia [21]3 years ago

5 0

∴ $\frac{1}{2} +2+8+32.......12^{th}term$ =2796202.5

Step-by-step explanation:

First term(a) = $\frac{1}{2}$ common ratio(r) = $\frac{2}{\frac{1}{2} }$ =4

n= 12

$S_{n}=\frac{a(r^n-1)}{(r-1)}$

$S_{12}=\frac{\frac{1}{2}(4^{12}-1) }{4-1}$ =2796202.5

∴ $\frac{1}{2} +2+8+32.......12^{th}term$ =2796202.5

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3 years ago

One container is filled with mixture that is 25% acid. A second container is filled with a mixture that is 55% acid. The second

algol13

Answer:

Therefore the third container contains $\frac{735}{17}\%$ = 43.23 % acid.

Step-by-step explanation:

Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.

Let the volume of first container be x cubic unit.

Since the volume of second container is 55% larger than the first.

Then the volume of the second container is

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The amount of acid in first container is

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3 years ago

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rjkz [21]

Answer:

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Step-by-step explanation:

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3 years ago

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almond37 [142]

Answer:

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2 years ago