Consider the following geometric series.
2 + 0.5 + 0.125 + 0.03125 +
1. Find the common ratio.
|r| = .
2. Determine whether the geometric series is convergent or divergent.
3. If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)

1. |r| = 1/4. or 0.25

2. Since r < 1, the geometric series is convergent.

3. To obtain the sum, we consider the formula of obtaining the sum to infinity of a geometrical series;

S = a /(1 - r)

where a = 2 ( first term)

r = 0.25 ( common ratio)

Therefore:

S = 2 /( 1 - 0.25)

= 2 / 0.75

= 8/3 or 2.6667

Hence, the sum is 8/3

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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