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If six times the sixth term of an A.P. i...

If six times the sixth term of an A.P. is equal to nine times the ninth term, then show that its `15^(th)` term is zero ?

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MBD-ARITHMETIC PROGRESSION-EXERCISE
  1. Which term of the A.P 2, 8, 14, .... will be 126 more than its 15th te...

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  2. Find the common difference of the A.P. for which 18^(th) term is 3 mor...

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  3. If six times the sixth term of an A.P. is equal to nine times the nint...

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  4. Which term of the sequence 17, 16 1/5 15 2/5 ,…... is the first negati...

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  5. In an A.P. the 24^(th) term is twice the 10^(th) term. Prove that 72n...

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  6. The ratio of 12^(th) to the 15^(th) term of an A.P. in 19 : 24. Find t...

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  7. The third term of an A.P. is 10 and seventh term is 22. Find the A.P.

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  8. How many terms are there in the A.P. -1,(-5)/6,(-2)/3,(-1)/2…..,10/3?

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

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  10. If (m + l)th term of an A.P. is twice the (n + l)th term, prove that (...

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  11. The first term of an A.P. is 5, the common difference is 3 and the las...

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  12. If the nth term of the A.P. 9, 7, 5, .... is same as the nth term of A...

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  13. Find the second term and nth term of an A.P. whose 6th term is 12 and ...

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  14. The first term of an A.P. is 5 and its 100th term is - 292. Find the 5...

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  15. How many terms are there in the A.P. -7,-4,-1, 2, ...., 101 ?

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  16. Which term of sequence 36, 31, 26, 21, 16... is the first negative ter...

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  17. If 5 times the 5^(th) term of an A.P. is equal to 7 times the 7^(th) t...

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  18. How many terms of the A.P. 9, 6, 3, 0, -3, ... will be needed to give ...

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  19. How many terms of the A.P.- 6,(-11)/2,-5, (-9)/2... are needed to give...

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  20. The sum of n terms of an A.P. is 136, the common difference is 4 and t...

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