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Answer :
Final answer:
The sum of the terms of an arithmetic progression becomes zero when compared to a geometric progression due to their difference in pace.
Explanation:
The difference in pace between an arithmetic progression (AP) and a geometric progression (GP) results in the sum of the n terms of the AP becoming zero when m is not equal to n.
For instance, when comparing the sums of the first few terms of both progressions, the difference between their sums grows significantly larger as the number of terms increases.
This concept is crucial in understanding the behavior of arithmetic and geometric progressions when considering their sums.
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