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a1 = -20 ; an = 0.5a n - 1? what are the first five terms

Sagot :

Answer:

The first five terms are:

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

Explanation:

Given that:

[tex]\begin{gathered} a_1=-20 \\ a_n=0.5a_{n-1} \end{gathered}[/tex]

For n = 2

[tex]\begin{gathered} a_2=0.5a_1 \\ =0.5\times20 \\ =-10 \end{gathered}[/tex]

For n = 3

[tex]\begin{gathered} a_3=0.5a_2 \\ =0.5\times10 \\ =-5 \end{gathered}[/tex]

For n = 4

[tex]\begin{gathered} a_4=0.5a_3 \\ =0.5\times5 \\ =-2.5 \end{gathered}[/tex]

For n = 5

[tex]\begin{gathered} a_5=0.5a_4 \\ =0.5\times2.5 \\ =-1.25 \end{gathered}[/tex]

Therefore, the first five terms are:

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

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