Question

GP, if the (m + n) term is p and (m -- n)" term is q, then its mth term is -
(a) o
(b) pq
(d) 1/2{p+q).
(c) √pq​

Answer 1

Answer:

$\sqrt{pq}$

Step-by-step explanation:

Let the m+n th term be p, then we have.

$t(p) = a{r}^{m + n - 1} \\ t(q) = a {r}^{m - n + 1}$

Multiplying both, we have

$pq = {a}^{2} {r}^{m + n - 1 + m - n - 1} \\ pq = {a}^{2} {r}^{2m - 2} \\ = > pq = {(a{r}^{m - 1} )}^{2} \\ \sqrt{pq} = mth \: term$