Question
Sum to $n$ terms of the series$\frac{1}{(1+x)(1+2 x)}+\frac{1}{(1+2 x)(1+3 x)}$ is(A) $\frac{n x}{(1+x)(1+n x)}$(B) $\frac{n}{(1+x)[1+(n+1) x]}$(C) $\frac{x}{(1+x)(1+(n-1) x)}$(D) None of these
Step 1
For example, the term $\frac{1}{(1+x)(1+2x)}$ can be written as $\frac{1}{1+x} - \frac{1}{1+2x}$. Show more…
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