Question

For a GP, if (m + n)^th term is p and (m - n)^th term is q, then m^th term is _____.

Options

• pq

• `sqrt"pq"`

• `"p"/"q"`

• `"q"/"p"`

Answer 1

For a GP, if (m + n)^th term is p and (m - n)^th term is q, then mth term is `underline(sqrt"pq")`.

Explanation:

In any GP if (m + n)^th term i.e. a_m+n = p and (m - n)^th term i.e. a_m-n = q, then a_m = `sqrt"pq"`