1991 AHSME Problems/Problem 25

Problem

If $T_n=1+2+3+\cdots +n$ and $P_n=\frac{T_2}{T_2-1}\cdot\frac{T_3}{T_3-1}\cdot\frac{T_4}{T_4-1}\cdot\cdots\cdot\frac{T_n}{T_n-1}$ for $n=2,3,4,\cdots,$ then $P_{1991}$ is closest to which of the following numbers?

$\text{(A) } 2.0\quad \text{(B) } 2.3\quad \text{(C) } 2.6\quad \text{(D) } 2.9\quad \text{(E) } 3.2$

Solution

$\fbox{D}$

1991 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 24	Followed by Problem 26
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1991 AHSME Problems/Problem 25

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