SOLUTION: True or False The associated series of an arithmetic sequence is also an arithmetic sequence.

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Question 1200786: True or False
The associated series of an arithmetic sequence is also an arithmetic sequence.

Answer by ikleyn(52788) About Me  (Show Source):
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If the question is "if the sums of an arithmetic sequence form an arithmetic sequence ?",

then the answer is "FALSE" in general case, if the common difference is not 0 (zero).

It is TRUE only if the common difference of the arithmetic sequence is 0 (zero), which is very degenerated case.