Question

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

Answer 1

$A(n+1)\text{ =}\frac{1}{2}A(n)$

For n= 1

$A(1+1)=\frac{1}{2}A(1)$

but A(1) = 4

$A(2)\text{ = }\frac{1}{2}(4)\text{ = 2}$

For n= 2

$A(2+1)=\frac{1}{2}A(2)$$A(3)=\frac{1}{2}A(2)$

But A(2) = 2

$A(3)\text{ =}\frac{1}{2}(2)=\text{ 1}$

Hence, the first three terms are;

4, 2, 1