Two series of cash flows listed below are equivalent when annual interest is $10\%$ compounded annually.

CF$1$: $$100$ in year $1,$ increasing by $$200$ each year for $7$ more years.

CF$2$: A constant cash flow of $A dollars over the same $8$ years.

$($A$)$ What is the present value of cash flow $1?$

$($B$)$ What is the value of A in the second cash flow that makes these two cash flows equivalent?