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If pth, qth and rth term of an A.P. are ...

If pth, qth and rth term of an A.P. are in A.P., show that p, q, r also are in A.P.

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If pth, qth and rth term of a G.P. are in G.P. then prove that p, q, r are in A.P.

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. The sum of the first term and pth term of an A.P. is zero. Show that t...

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  2. The sum of the pth and the qth term of an A.P. is equal to the sum of ...

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  3. If pth, qth and rth term of an A.P. are in A.P., show that p, q, r als...

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  4. If the qth term of an A.P. is twice the pth term and rth term is twice...

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  5. The sum of the pth and qth term of an A.P. is one, and rth term is one...

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  6. The pth term of an A.P. is twice the qth term. Again the sum of qth an...

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  7. The sum of three consecutive terms of an A.P. is 21 and their product ...

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  8. The sum of three consecutive terms of an A.P. is 36 and their product ...

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  9. The sum of three consecutive terms of an A.P. is 54. If the product of...

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  10. The sum of three numbers in A.P. is 12. If the sum of the squares is 5...

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  11. Three integers are in A.P. If the product of the first and last is 60 ...

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  12. Divide 69 into three parts such that the parts may form as A.P. and th...

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  13. Divide 72 into three parts such that the parts may form,an AP. and the...

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  14. The product of three numbers in A.P. is 648. If the greatest is twice ...

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  15. The sum of the squares of three numbers in A.P. is 116. If the greates...

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  16. The sum of three numbers in A.P.is 30. If the product of the last...

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  17. The sum of four numbers in A.P. is 20 and sum of their squares is 120....

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  18. The sum of four numbers in A.P. is 40. If the sum of the product of fi...

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  19. If a, b, c are in A.P. then show that the terms given below are also i...

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  20. If a, b, c are in A.P. then show that the terms given below are also i...

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