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8 votes
8 votes
Find the 13th term of the geometric sequence 7, 21, 63

User Netskink
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1 Answer

17 votes
17 votes

Answer: 3720087

Explanation:

n=term number

an=term value

terms: 7, 21, 63...

term number: 1, 2, 3, ...

7 is 1st term. 21 is 2nd term. 63 is 3rd term.

21/7=3

63/21=3

Common change in each term is multiplication by 3

Hence, the formula can be expressed in exponents.

an=3^(n-1) * 7 where n is the term number, an is the term value, and 7 is the 1st term in the sequence.

an=3^(13-1) * 7

an=3^12 * 7

an=531441 * 7

an=3720087

User Peggie
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