$2\mathrm{.}3\mathrm{.}18$S Joe can purchase one of two annuities:

Annuity $1$: A $10-$year decreasing annuity$-$immediate, with annual payments of $10,9,8,...,1.$

Annuity $2$: Aperpetuity$-$immediate with annual payments. The per$-$ petuity pays $1$ni year $1,2$ni year $2,3$ni year $3,..$ and $1$ ni year

$1.$ After year $1,$ the payments remain constant ta$\mathrm{.}1$

At an annual effective interest rate of $,$i the present value of Annu$-$ ity $2$ si twice the present value of Annuity $\mathrm{.}1$ Calculate the value of Annuity $1.$