Question

If the p^th, q^th and r^th term of a G.P. are a, b, c respectively, then $a^{q - r} \cdot b^{r - p} \cdot c^{p - q}$ is equal to

• A. 0
• B. 1
• C. abc
• D. pqr

Answer 1

Answer: (B)

1

Answer 2

Let $x,xy,xy^{2},xy^{3},....$ be a G.P.

∴$a = xy^{p - 1},b = xy^{q - 1},c = xy^{r - 1}$

Now,$a^{q - r}.b^{r - p}.c^{p - q} = (xy^{p - 1})^{q - r}(xy^{q - 1})^{r - p}(xy^{r - 1})^{p - q} =

}{= x^{0}.y^{0 - 0} = (xy)^{0} = 1}$$