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The explicit formula for the geometric sequence 10,30,90,180

2 Answers

2 votes

Answer:

nth term = 10(3)^(n-1).

Explanation:

General form is a1 r^(n-1) where a1 is the first term and r is the common ratio and n is the term number.

For this sequence a1 = 10 and r = 30/10 = 3.

The explicit formula is nth term = 10(3)^(n-1)

User Kimbo
by
8.0k points
6 votes

Answer:


a_(n) = 10
(3)^(n-1)

Explanation:

The n th term of a geometric sequence is


a_(n) = a
(r)^(n-1)

where a is the first term and r the common ratio

Here a = 10 and r = 30 ÷ 10 = 3, thus


a_(n) = 10
(3)^(n-1)

User Wolfgang Brehm
by
8.6k points

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