At an effective annual interest rate i$,$ you are given:

$($i$)$ The present value of an annuity$-$immediate with annual payments of $1$ for $n$ years is $50$;

and

$($ii$)$ The present value of an annuity$-$immediate with annual payments of $1$ for $3$ n years is $95.$

Calculate the accumulated value of an annuity$-$immediate with annual payments of $1$ for

$2n$ years.

A$.240$

B$.243$

C$.260$

D$.268$

E$.280$