Question

How do you write the first five terms of the geometric sequence `a_1=2, r=x/4`?

Answer 1

`2,x/2,x^2/8,x^3/32,x^4/128`

Explanation:

multiply the previous term by the common ratio`" "r`

`a_1=2`

`a_2=a_1xxx/4=2xxx/4=x/2`

`a_3=x/2xxx/4=x^2/8`

`a_4=x^2/8xxx/4=x^3/32`

`a_5=x^3/32xxx/4=x^4/128`