WOLFRAM|DEMONSTRATIONS PROJECT

Plot of a Geometric Sequence and Its Partial Sums

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number of terms
25
common ratio
0.5
first term
10
show sequence (red circles)
show sums (blue squares)
This graph plots terms of a geometric sequence as well as the partial sums of the related geometric series. You can show that both the sequence and the sums converge if and only if
-1<r<1
.