Question

The first term of a geometric sequence is 160, and the common ratio is 0.5. What is the 6th term of the sequence?

Answer 1

Geomeric sequence:

$a_n=a_1\times r^{n-1}$

n is the number of term

a1 is the first term

r is the common ratio

For the given sequence:

$a_n=160\times0.5^{n-1}$

Find 6th term

n=6

$\begin{gathered} a_6=160\times0.5^{6-1} \\ a_6=160\times0.5^5 \\ a_6=160\times0.3125 \\ a_6=5 \end{gathered}$Then, the 6th term is 5