Question

If p,q,r are in G.P., and p^1/a = q^1/b = r^1/c, then find the value of a-2b+c???
11TH CLASS CBSE

Answer 1

Step-by-step explanation:

p,q,r are in G.P and a,b,c are in G.P.

Clearly, ap, bq, cr are in G.P because on multiplying corresponding terms of two G.P's and resulting term is also in G.P.

e.g:

G

1

=2,

2

,1,

2

1

,...

G

2

=3,

3

,1,

3

1

,....

On multiplying corresponding terms of G.P's

G

3

=6,

6

,1,

6

1

,........... which is also in G.P.

Hence, B is the correct option.