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If 5 times the fifth term of an A.P. .is...

If 5 times the fifth term of an A.P. .is equal to 8 times its eight term, show that 13th term is zero.

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If 7 times the 7th term of an A.P is equal to 11 times its 11th term,Show that the 18th term of an A.P is zero.

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If the 9th term of an A.P is zero,prove that 29th term is double the 19th term.

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. The 4rth term and 15th term of an A.P is 22 and 66 respectively. Find ...

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  2. The sixth term and 16th term of an A.P. are —30 and zero respectively....

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  3. If 5 times the fifth term of an A.P. .is equal to 8 times its eight te...

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  4. If the 9th term of an A.P is zero,prove that 29th term is double the 1...

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  5. In a certain A.P., the 24th term is twice the 10th term. Prove that ...

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  6. If the mth term and nth term of an A.P. are respectively n and m show ...

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  7. The pth term of an A.P. is q and qth term is p. Show that the nth term...

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

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

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

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

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

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

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

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

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

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

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

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

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

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