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What is the fifth term of the geometric sequence 5,15,45,...

User MicNeo
by
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1 Answer

5 votes

Answer:

405

Explanation:

This is a geometric sequence, so we need the common ratio and the first term

To find the common ratio, we take the second term and divide by the first term

15/5 =3

The common ratio is 3

We are multiplying by 3 each time

The first term is 5

The formula is

an = a1 * (r) ^ (n-1) where n is the term number

We want the 5th term

a5 = 5 * (3) ^ (5-1)

a5 = 5 *3^4

= 5 *81

= 405

User SPB
by
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