Problem $02\mathrm{.}030-$ Arithmetic change in cash flows

An arithmetic cash flow gradient series equals $\backslash (\backslash$$ $600\backslash )$ in year $\backslash (1,\backslash$$ $700\backslash )$ in year $2,$ and amounts increasing by $\backslash (\backslash$$ $100\backslash )$ per year through year $14.$ At $\backslash ($ i$=14\mathrm{.}00\backslash \%\backslash )$ per year, determine the present worth of the cash flow series in year $0.($Round the final answer to three decimal places.$)$

The present worth of the cash flow series in year $0$ is $\backslash (\backslash$$ $\backslash )$