Question

4,20,100,...t10find the 6th term

Answer 1

12500

1) Notice that we have a Geometric Sequence, whose ratio is 5.

2) So let us write a formula for this Geometric Sequence since we have the first term (4) and the ratio.

`\begin{gathered} a_n=a_1\cdot q^(n-1) \\ a_6=4\cdot(5)^(6-1) \\ a_6=4\cdot(5)^5 \\ a_6=4\cdot3125 \\ a_6=12500 \end{gathered}`

3) Hence, the 6th term is 12500