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?

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?

bobpursley · Answer

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.