Question

Sequence T1 is obtained by adding the corresponding terms of S(sub) and S(sub2). so that T(sub1) = {2.6, 3.39, 4.297, 5.3561, . . .}. We shall write T(sub1) = S(sub1) + S(sub2) to convey the addition of S(sub1) and S(sub2) in this way. Is T(sub1) an arithmetic or geometric sequence?

I am so confused. When I subtract the terms I get a common difference but it is not constant the whole time through (the terms will be different) And when I get the common ratio, I still get different answers. Am I interpreting this problem wrong?

Answer 1

Yes, You are.

Is T₁ arithemetic or geo?

what is the difference between successive terms:
3.39-2.6=.79
4.297-3.39=.907
so it is not constant, so it is NOT arithemetic. Now, is it geometric
3.39/2.6 =1.2038...
4.297/3.39=1.267
the ratio is not constant ( assuming you typed the terms correctly) so it is not geometric.