If a, b, c are the pth, qth and rth terms of a GP, show that (q – r) log a + (r – p) log b + (p

Home » If a, b, c are the pth, qth and rth terms of a GP, show that (q – r) log a + (r – p) log b + (p – q) log c = 0.

If a, b, c are the pth, qth and rth terms of a GP, show that (q – r) log a + (r – p) log b + (p – q) log c = 0.

If a, b, c are the pth, qth and rth terms of a GP, show that (q – r) log a + (r – p) log b + (p – q) log c = 0.

Answer : As per the question, a, b and c are the pth, qth and rth term of GP. Let us assume the required GP as A, AR, AR2, AR3…

Now, the n^th term in the GP, an = AR^n-1 p^th term, ap = AR^p-1 = a → (1)

q^th term, aq = AR^q-1 = b → (2) r^th term, ar = AR^r-1 = c → (3)

i

Sign up now and study all subjects for free