Question

If the 4th, 10th and 16th term of a GP are x, y, z respectively. Prove that x, y, z are in GP​

Answer 1

Let first term of GP be a and common ratio be r

than 4th term is ar^3

10 th term is ar^9

16 the term is ar^15

ar^3,ar^9,ar^15

are in gp with common ratio r^6

hence proved