Question

if the 4th , 7th , and 10th terms of a GP are a,b,and c respectively prove that b square = ac

Answer 1

hence proved. . . ..

Answer 2

Dear Student,

◆ Answer with Explanation -

Let a be first term and r be common ratio for GP.

t4 = ar^3

t7 = ar^6

t10 = ar^9

Let's take LHS,

LHS = b^2

LHS = (ar^6)^2

LHS = a^2.a^12

LHS = ar^3 × ar^9

LHS = a × c

LHS = RHS

Thus, proved.

Thanks dear. Hope this helps you...