contestada

write the first three terms of sequence A(n+1)=1/2A(n) for n ≥ 1 and A(1)=4write your answer separated by commas, with no space for example 5,6,7

Respuesta :

[tex]A(n+1)\text{ =}\frac{1}{2}A(n)[/tex]

For n= 1

[tex]A(1+1)=\frac{1}{2}A(1)[/tex]

but A(1) = 4

[tex]A(2)\text{ = }\frac{1}{2}(4)\text{ = 2}[/tex]

For n= 2

[tex]A(2+1)=\frac{1}{2}A(2)[/tex][tex]A(3)=\frac{1}{2}A(2)[/tex]

But A(2) = 2

[tex]A(3)\text{ =}\frac{1}{2}(2)=\text{ 1}[/tex]

Hence, the first three terms are;

4, 2, 1

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