Can you please show the step$-$by$-$step work written out, thank you:

Suppose that $$100$ is to be received at the end of each year for $10$ consecutive years, beginning in one year, with one exception. The amount received at the end of year $3,$ and only in year $3,$ is $$500$ instead of $$100.$ What comes closest to the value of these amounts at the end of year $10$ if the interest rate is $2\%?$

A$.$ $$1,666\mathrm{.}67$

B$.$ $$1,576\mathrm{.}67$

C$.$ $$1,554\mathrm{.}47$

D$.$ $$1,400\mathrm{.}00$

E$.$ $$1,094\mathrm{.}97$