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{ =}(1)/(2)A(n)`

For n= 1

`A(1+1)=(1)/(2)A(1)`

but A(1) = 4

`A(2)\text{ = }(1)/(2)(4)\text{ = 2}`

For n= 2

`A(2+1)=(1)/(2)A(2)`
`A(3)=(1)/(2)A(2)`

But A(2) = 2

`A(3)\text{ =}(1)/(2)(2)=\text{ 1}`

Hence, the first three terms are;

4, 2, 1