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## Tuesday, 2 August 2011

### Math GRE - #1

If $F(1) = 2$ and $F(n) = F(n-1) + \frac{1}{2}$ for all integers $n > 1$, then $F(101) =$

• 49
• 50
• 51
• 52
• 53
The closed form formula is $F(n) = 2 + \frac{n-1}{2} = \frac{n+3}{2}$. Thus, $F(101) = 52$ is the correct answer.

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