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Sum of the first p, q and r terms of an A.P. are a, b and c, respectively. Prove that `a/p(q-r)+b/q(r-p)+c/r(p-q)=0`

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Sum of first p,q and r terms of an A.P. are a,b,c respectively. Prove that a/p(q-r) +b/q(r-p) + c/r(p-q)=0 .

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PSEB-SEQUENCES AND SERIES-EXERCISE
  1. The sums of n terms of two arithmetic progressions are in the ratio 5n...

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  2. If the sum of first p terms of an A.P. is equal to the sum of the firs...

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  3. Sum of the first p, q and r terms of an A.P. are a, b and c, respectiv...

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  4. The ratio of the sums of m and n terms of an A.P. is m^2: n^2. Show th...

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  5. If the sum of n terms of an A.P. is 3n^2 + 5n and its m^(th) term is 1...

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  6. Insert five numbers between 8 and 26 such that the resulting sequence ...

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  7. If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. between a and b, then find ...

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  8. Between 1 and 31, m numbers have been inserted in such a way that the ...

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  9. A man starts repaying a loan as first instalment of Rs. 100. If he inc...

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  10. The difference between any two consecutive interior angles of a polygo...

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  11. Find the 20th and nth terms of the G.P. 5/2,5/4,5/8,.....

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  12. Find the 12th term of a G.P. whose 8th term is 192 and the common rati...

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  13. The 5th, 8th and 11th terms of a G.P. are p, q and x, respectively. Sh...

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  14. The 4th term of a G.P. is square of its second term, and the first ter...

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  15. Which term of the following sequence:- 2,2sqrt2,4,.....is 128?

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  16. Which term of the following sequence:- sqrt3,3,3sqrt3,....is 729?

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  17. Which term of the following sequence:- 1/3,1/9,1/27,.....is 1/19683 ?

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  18. For what values of x, the numbers -2/7,x, -7/2 are in G.P.?

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  19. Find the sum to indicated number of terms of the geometric progression...

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  20. Find the sum to indicated number of terms of the geometric progression...

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