How would I find the expression of the nth term sequence given the terms of 2, 1, 4/5, 5/7, 6/9 and the expression of the nth term sequence given the terms of 1/2,-1/4,1/8, -1/16?

Question

How would I find the expression of  the nth term sequence given the terms of 2, 1, 4/5, 5/7, 6/9 and the expression of the nth term sequence given the terms of 1/2,-1/4,1/8, -1/16?

bobpursley · Answer

Change the first sequence to ... 2/1; 3/3;4/5; 5/7;6/9;.... On the second, it sure looks like r is -1/2.