If s is the product of the integers from 100 to 200, inclusive, and t is the product of the integers from 100 to 201, inclusive, what is ~$\frac{1}{s}+\frac{1}{t}$~ in terms of t?


~$\frac{201^{2}}{t}$~

~$\frac{201\times 202}{t}$~

~$\frac{201}{t}$~

~$\frac{202}{t}$~

~$\frac{201\times 202}{t^{2}}$~

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