Find the 10th term of the geometric sequence 1, 3, 9, ...

Mathematics

1 answer:

ladessa [460]3 years ago

3 0

Answer:

a(10) = 3^9 = 19683

Step-by-step explanation:

In this sequence each new term is equal to 3 times the previous term. Thus, 3 is the common ratio. The first term is 1.

The general formula for the nth term of a geometric sequence i

a(n) = a(1)*r^(n -1), where r is the common ratio.

Here, a(n) = 1*3^(n - 1), and so

the 10th term is

a(10) = 1*3^(10 - 1), or

a(10) = 3^9 = 19683

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