[SOLVED] Sequence problem

**mollymcf2009** · March 17th 2009, 06:46 PM

I've tried about 100 different scenarios and can't seem to get this one:

Find a formula for the general term $a_n$ of the sequence, assuming the pattern of the first few terms continues:

{ $\frac{1}{4}, \frac{2}{9}, \frac{3}{16}, \frac{4}{25}, ...$ }

$a_n$ = ?

**Chris L T521** · March 17th 2009, 06:51 PM

Originally Posted by mollymcf2009

I've tried about 100 different scenarios and can't seem to get this one:

Find a formula for the general term $a_n$ of the sequence, assuming the pattern of the first few terms continues:

{ $\frac{1}{4}, \frac{2}{9}, \frac{3}{16}, \frac{4}{25}, ...$ }

$a_n$ = ?

Hint: The sequence can be written as $\left\lbrace\frac{1}{2^2},\frac{2}{3^2},\frac{3}{4 ^2},\frac{4}{5^2},\dots\right\rbrace$

Can you try to come up with an expression for $a_n$ now?

**mollymcf2009** · March 17th 2009, 06:53 PM

$\frac{n}{(n+1)^2}$

Thanks Chris!!

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