Question

Find the 10th term of each geometric sequence below. Formula:

Answer 1

`\begin{gathered} \text{The nth term of the gp is given as} \\ a_n=ar^(n-1) \\ \text{for number 1} \\ a_1=20,\text{ r=}(60)/(20)=3,\text{ n =10} \\ a_(10)=20(3)^(10-1) \\ =20(3)^9 \\ =20(19683) \\ =393660 \end{gathered}`

for number 2

`\begin{gathered} r\text{ = }(2.5)/(5)=(1)/(2) \\ a_(10)=\text{ 5 x (}(1)/(2))9 \\ \\ =5\text{ x }(1)/(512) \\ =(5)/(512) \\ =0.0097656250 \end{gathered}`