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The 4rth term and 15th term of an A.P is...

The 4rth term and 15th term of an A.P is 22 and 66 respectively. Find the first term and the common difference.

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. Which term of the A.P. -3frac(1)(3),-3,-2frac(2)(3), is zero?

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  2. Can zero be a term of an A.P. whose eleventh term is 62 and 21th term ...

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  3. The 4rth term and 15th term of an A.P is 22 and 66 respectively. Find ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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