In a HP. if the pth term is qr and qth term is pr.Prove that the rth term is pq?
Asked by
| 6th Jul, 2008,
11:11: PM
Expert Answer:
let H.P. be 1/a , 1/(a+d) , 1/(a+2d),....
then given a+(p-1)d = 1/qr
and a+(q-1)d = 1/pr
solving for a and d we get a = -1/pqr and d = 1/pqr
then a+(r-1)d= -1/pqr + (r-1)(-1/pqr) = 1/pq
so pth term of H.P. will be 1/(a+(r-1)d) = pq
Answered by
| 12th Sep, 2008,
12:26: AM
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Sign Up
Verify mobile number
Enter the OTP sent to your number
Change