Determine whether the series converges or not.
$$-7 + \frac {14} 3 - \frac {28} 9 + \frac {56} {27} + \dots$$
This is the Alternating Harmonic Series but I can't see the common ratio here. Any suggestion? Thank you.
2026-04-06 11:38:46.1775475526
Determine whether $-7 + \frac {14} 3 - \frac {28} 9 + \frac {56} {27} + \dots$ converges or not.
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One may recall that
Then you may write your series as $$ -7\times\sum_{n=0}^\infty \left(-\frac23\right)^n. $$ and conclude.