Question

Find the ninth term of the sequence
sprt(5), sprt(10), 2 sprt(5)​

Answer 1

Formula for this is (sqrt(2)^(n-1))*sqrt(5) such that n is the term number
So sqrt(2)^8(sqrt(5))
The answer is (B) 16sqrt(5)

Answer 2

16sqrt5

Explanation:

Notice that the next term is the previous term multiplied by sqrt2.

So we can take sqrt5 and multiply it by sqrt2, 8 times to get the ninth term.

sqrt2 ^8 = 16.

So 16sqrt5