You have two options $($which are of equal value at time $0).$

A geometrically increasing $30$ year annuity, paying $100$ at time $1,$ and increasing

by $3\%$ for each future payment.

An arithmetically decreasing annuity, starting at $x$ at time $1$ and decreasing by

$1$ each year for $30$ years.

Assuming $i=0\mathrm{.}04,$ calculate $x.[157\mathrm{.}15]$