find the nth term of √2;2√2;3√2

Asked by priyeshkumar80581 | 4th Jan, 2021, 05:11: PM

Expert Answer:

begin mathsize 16px style square root of 2 comma space 2 square root of 2 comma space 3 square root of 2 comma space....
Here comma space straight a space equals space square root of 2 space space space and space space space straight d space equals space 2 square root of 2 space minus space square root of 2 space equals space square root of 2
straight n to the power of th space term space of space an space straight A. straight P space equals space straight a plus left parenthesis straight n minus 1 right parenthesis straight d space equals space square root of 2 space plus space left parenthesis straight n minus 1 right parenthesis space square root of 2 space equals space square root of 2 plus square root of 2 straight n space minus space square root of 2 space equals space square root of 2 straight n end style

Answered by Yasmeen Khan | 7th Jan, 2021, 12:55: PM