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Find r for the geometric series with s5 = 484, a1 = 4, a5 = 324

Find r for the geometric series with s5 = 484, a1 = 4, a5 = 324
asked 49.1k views
5 votes
Find r for the geometric series with s5 = 484, a1 = 4, a5 = 324

asked
User Zezollo
by
8.4k points

1 Answer

3 votes
a5 / a1 = r^4 = 324/4

So r^4 = 81

r = +/- 3

If r = 3 :-

S5 = 4 * (3^5-1) / (3-1) = 484

so r = 3 Answer
answered
User Arun Tom
by
8.2k points
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