Using the first 10 terms graph the sequence, and use the graph to discuss the convergence or divergence of the sequence an=3-1/2^n?
1 Answer
Converges to
Explanation:
So, we have the sequence
Assuming
Now, we plot the following points:
But we do not connect these points, as a sequence only returns outputs for integers. Connecting points would imply the sequence exists everywhere between the plotted ploints, which is absolutely false:
This program connected the points together with straight lines to make visualization easier, but do not actually connect the points together with lines when making your plot. The sequence only exists at the plotted points.
A sequence
From the plot, we can see this sequence converges. It approaches