Question

If fifth term of a G.P. is 4, then product of first nine terms is

Answer 1

a$r^4$ = 4 ....................................(1)

Product of first nine terms = a .ar. a$r^2$ .............a$r^8$

= $a^9$$r^{1+2+................+8}$

= $a^9$$r^{36}$
= ${\left({ar}^4\right)}^9$

= $4^9$