Question

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).5,4, 16/5... Find the 7th term.

Answer 1

In order to find the 7th of the sequence, first let's find the common ratio of the sequence.

To do so, let's divide one term by the term before:

$q=\frac{4}{5}$

Now, we can use the following formula to find the 7th term:

$a_n=a_1\cdot q^{n-1}$

For n = 7, we have:

$\begin{gathered} a_7=5\cdot(\frac{4}{5})^6 \\ a_7=1.311 \end{gathered}$