What is the value of the fourth term in a geometric sequence for which a_1 = 15 and r = 1/3?

1 Answer
Jim G.
Jul 13, 2016

a_4=5/9

Explanation:

The standard geometric sequence is.

color(red)(|bar(ul(color(white)(a/a)color(black)(a,ar,ar^2,ar^3,......)color(white)(a/a)|)))
where the first term is represented by a, and each term of the sequence is obtained by multiplying the previous term by r, the common ratio.
The nth term is color(red)(|bar(ul(color(white)(a/a)color(black)(a_n=ar^(n-1))color(white)(a/a)|)))

Here a = a_1=15" and " r=1/3

rArra_4=15xx(1/3)^3=15xx1/27=5/9

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