Question

find the thenth term of the square root 2 ,root 8, root 18..​

Answer 1

The series is √2, √8, √18...

Which can be written as:

√2, 2√2, 3√2, 4√2... which is an AP

the common difference is √2 and first term is √2.

So the 10th term of this AP is

a₁₀=a+9d

=√2+9√2=10√2

So 10th term is 10√2