SOLUTION: For the geometric sequence {{{a}}},{{{ ar}}},{{{ar^2}}} ... (to infinity), show that the sequence {{{loga}}}, {{{log((ar))}}}, {{{log((ar^2))}}}....(to infinity) is an arithmetic s

Question 1146288: For the geometric sequence ,, ... (to infinity), show that the sequence , , ....(to infinity) is an arithmetic sequence.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Two consecutive terms of the given sequence are ar^n and ar^(n+1).

We need to show that the difference between log(ar^n) and log(ar^(n+1)) is a constant.

=
=

r is the constant ratio between terms, so log(r) is a constant.
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