Question 1203394: 1.1, -2.2, 3.3, -4.4,...
Simplification.
Formula: sub an=ar(n-1)
(Geometric sequence simplify)
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52802)   (Show Source):
Answer by math_tutor2020(3817)  (Show Source):
You can put this solution on YOUR website!
The claim is this sequence is geometric.
To check this claim, divide each term over its previous term.
If we get the same result each time, then the sequence is geometric.
r = term2/term1 = -2.2/1.1 = -2
r = term3/term2 = 3.3/(-2.2) = -1.5
r = term4/term3 = -4.4/3.3 = -1.333333 approximately
We technically could have stopped once reaching -1.5, but it doesn't hurt to check all pairings.
Regardless, this sequence is NOT geometric because there is no common ratio.
We get different result each time we divide adjacent terms.
If the sequence was: 1.1, 2.2, 3.3, 4.4, ...
Then it would be arithmetic because the difference of adjacent terms is the same.
d = term2 - term1 = 2.2 - 1.1 = 1.1
d = term3 - term2 = 3.3 - 2.2 = 1.1
d = term4 - term3 = 4.4 - 3.3 = 1.1
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