Solution
= Solution
\b[False.] The <sequence> $a_n=(-1)^n/n$ converges to zero, but $|a_{n+1}-a_n|=1/n+1/(n+1)$, whose <series> diverges.
= Solution
\b[False.] The <sequence> $a_n=(-1)^n/n$ converges to zero, but $|a_{n+1}-a_n|=1/n+1/(n+1)$, whose <series> diverges.