Question

What is the fifth term of the geometric sequence a1=10, a2=5, a3=2.5, a6=.31251.25.625.5-.625

Answer 1

Determine the common ratio for the sequence.

`\begin{gathered} r=(a_2)/(a_1) \\ =(5)/(10) \\ =(1)/(2) \end{gathered}`

Determine the fifthn term of the sequence.

`\begin{gathered} a_5=a_1(r)^(5-1) \\ =10\cdot((1)/(2))^4 \\ =10\cdot0.0625 \\ =0.625 \end{gathered}`

So fifth term of sequence is 0.625.