SOLUTION: Predict the general term, or nth term, for the sequence: 1, square root 3, square root 5, square root 7, 3... I know that the answer equation is An= 1r^n-1 but I can't figure ou

Algebra ->  Sequences-and-series -> SOLUTION: Predict the general term, or nth term, for the sequence: 1, square root 3, square root 5, square root 7, 3... I know that the answer equation is An= 1r^n-1 but I can't figure ou      Log On


   



Question 424575: Predict the general term, or nth term, for the sequence: 1, square root 3, square root 5, square root 7, 3...
I know that the answer equation is An= 1r^n-1 but I can't figure out what the r term would be.

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
There seems to be a square root involved in every term (we can write 1 as sqrt%281%29), so we can write A%5Bn%5D+=+sqrt%28k%29 and figure out a good expression for k.

Note that k is an increasing arithmetic sequence with common difference 2. We can write k = 2n - 1 since the first k is 2(1) - 1 = 1, so our sequence should be A%5Bn%5D+=+sqrt%282n-1%29.