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zheka24 [161]
3 years ago
11

What is the sum of the first five terms of a geometric series with a1 =20 and r =1/4?

Mathematics
1 answer:
drek231 [11]3 years ago
5 0
The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,

                            <span>Sn </span>= (<span><span><span>a1</span>(1−<span>r^n</span>) / (</span><span>1−r)

Substituting the known terms,
                           Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
                           Sn = 26.5625

Thus, the sum of the first four terms is 26.5625. </span></span>
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