Question

A1 = -20 ; an = 0.5a n - 1? what are the first five terms

Answer 1

Answer:

The first five terms are:

-20, -10, -5, -2.5, and -1.25

Step-by-step explanation:

Given that:

`\begin{gathered} a_1=-20 \\ a_n=0.5a_(n-1) \end{gathered}`

For n = 2

`\begin{gathered} a_2=0.5a_1 \\ =0.5*20 \\ =-10 \end{gathered}`

For n = 3

`\begin{gathered} a_3=0.5a_2 \\ =0.5*10 \\ =-5 \end{gathered}`

For n = 4

`\begin{gathered} a_4=0.5a_3 \\ =0.5*5 \\ =-2.5 \end{gathered}`

For n = 5

`\begin{gathered} a_5=0.5a_4 \\ =0.5*2.5 \\ =-1.25 \end{gathered}`

Therefore, the first five terms are:

-20, -10, -5, -2.5, and -1.25