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The sum of the first term and pth term o...

The sum of the first term and pth term of an A.P. is zero. Show that the `((p+1)/2)`th term is zero.

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. The pth term of an A.P. is q and qth term is p. Show that the nth term...

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  2. The pth term of an A.P. is —q and qth term is -p. If the nth term is z...

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  3. The sum of the first term and pth term of an A.P. is zero. Show that t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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