Determine the convergence or divergence of the series $$\frac { 1 } { 550 } + \frac { 1 } { 1100 } + \frac { 1 } { 1650 } + \frac { 1 } { 2200 } \ldots$$
A) The series $\frac { 1 } { 550 } + \frac { 1 } { 1100 } + \frac { 1 } { 1650 } + \frac { 1 } { 2200 } \ldots$ converges.
B) The series $\frac { 1 } { 550 } + \frac { 1 } { 1100 } + \frac { 1 } { 1650 } + \frac { 1 } { 2200 } \ldots$ diverges.

Question

Quizplus · Accepted Answer

Notice that we have the harmonic series with terms being divided by $550$, so we can compare this to the harmonic series with terms not being divided by any constant. Since the harmonic series diverges, it follows that this series must also diverge.

Determine the Convergence or Divergence of the Series 1550+11100+11650+12200…\frac { 1 } { 550 } + \frac { 1 } { 1100 } + \frac { 1 } { 1650 } + \frac { 1 } { 2200 } \ldots5501​+11001​+16501​+22001​…

Determine the Convergence or Divergence of the Series $\frac { 1 } { 550 } + \frac { 1 } { 1100 } + \frac { 1 } { 1650 } + \frac { 1 } { 2200 } \ldots$