Find the 7th term of sqrt(2), sqrt(10), 5*sqrt(2), ...
sqrt (2) , sqrt (10) , 5sqrt (2) rewrite as
sqrt (2) , sqrt (5)*sqrt (2) , 5sqrt (2)
The common ratio is 5 sqrt (2) /( sqrt (5) * sqrt (2) ) = sqrt (5)
The 7th term is
sqrt (2) * (sqrt (5))^6 =
sqrt (2) (5^(1/2))^6 =
sqrt (2) * 5^3 =
125 sqrt (2)
