Question

There are 6term in a Gp. Prove that the product of first and last term of the gp is equal to the product of the 3rd and 4rd team.

Answer 1

the 6 terms in GP : $a, ar, ar^{2}, ar^{3},ar^{4},ar^{5}$
Product of first and 6th term = $a^2r^{5}$

Product of 3rd and 4th term = $a^2r^{5}$

Hence proved they are equal