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* 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*0.5^(n-1)`

Find 6th term

n=6

`\begin{gathered} a_6=160*0.5^(6-1) \\ a_6=160*0.5^5 \\ a_6=160*0.3125 \\ a_6=5 \end{gathered}`Then, the 6th term is 5