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denis23 [38]
2 years ago
8

ANSWER ASAP!

Mathematics
1 answer:
finlep [7]2 years ago
7 0

The 13th term of the geometric sequence is:

a_{17} = \frac{13}{8}

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

a_n = a_1q^{n-1}

In which a_1 is the first term.

As a <u>function of the mth term</u>, the nth term can also be given as follows:

a_n = a_mq^{n - m}

In this problem, we have that:

a_{13} = 26, q = \frac{1}{2}

Hence the 17th term is:

a_{17} = a_{13}q^{4}

a_{17} = 26 \times \frac{1}{16}

a_{17} = \frac{13}{8}

More can be learned about geometric sequences at brainly.com/question/11847927

#SPJ1

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