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3 years ago

Evaluate each series. 50 points and brainless!

Mathematics

1 answer:

konstantin123 [22]3 years ago

3 0

Answer:

<u>Sum of n terms of a GP:</u>

Sₙ = a₁(rⁿ - 1)/(r - 1)

a₁ = 5
r = 2
n = 9
S₉ = 5(2⁹ - 1)/(2 - 1) = 5(511) = 2555

Correct choice is C

-----------------------------

a₁ = 12
r = 1/2
n = 5
S₅ = 12(1 - (1/2)⁵)/(1 - 1/2) = 12(31/32)/(1/2) = 23.25

Correct choice is A

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3 years ago

The cylinder below has a volume of 536.94 cubic inches. What is the radius of the cylinder? (Use 3.14 for π.)

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We have been given volume of the cylinder which is 536.94 cubic inches. Now question says to find the radius of the cylinder.

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$Volume = \pi r^2 h$

We see that there are three unknown values in the formula: {volume, radius-r, height-h}

So to find any one of them we must know other two values.

Volume is given but height is missing. So just for explanation i'm going to use height of the cylinder h= 19 inches

Now plug the value of volume and height in above formula

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