4, 6, 9, ... Find the 8th term.

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asked Sep 27, 2022 86.1k views

21 votes

4, 6, 9, ...
Find the 8th term.

Mathematics
high-school

Wwli asked

by Wwli

3.4k points

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1 Answer

4 votes

Answer:

Explanation:

$\text{This is a geometric sequence as dividing any term by the previous term is constant, called the common ratio. A geometric sequence has the form }a_n=ar^((n-1)) \text{ where }a_n=n^(th)\ term,\ a=initial\ value,\ r=common\ ratio.\\ \\ r=6/4=9/6=1.5,\ a=4\\ \\ a_n=4(1.5^((n-1))\\ \\ a_8=4(1.5^7)\\ \\ a_n=68.34375$

Arunbh Yashaswi answered Oct 2, 2022