SOLUTION: True or False The associated series of an arithmetic sequence is also an arithmetic sequence.
Algebra
->
Sequences-and-series
-> SOLUTION: True or False The associated series of an arithmetic sequence is also an arithmetic sequence.
Log On
Algebra: Sequences of numbers, series and how to sum them
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Sequences-and-series
Question 1200786
:
True or False
The associated series of an arithmetic sequence is also an arithmetic sequence.
Answer by
ikleyn(52788)
(
Show Source
):
You can
put this solution on YOUR website!
.
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.