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If (m + l)th term of an A.P. is twice th...

If (m + l)th term of an A.P. is twice the (n + l)th term, prove that (3m + l)th term is twice the (m + n + l)th term.

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

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Find the sum of 40 terms of an A.P. whose third term is 1 and 6th term...

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  15. Determine an A.P. whose nth term is an=3n^2+5n .

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  16. Find last term of an A.P. whose sum is 148 and A.P. is 1,6, 11, 16, .....

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  17. Find the sum of all the four digit numbers which are divisible by 29.

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  18. How many three digit numbers leave remainder 2 when divided by 9. Also...

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  19. The first term of an A.P. is 5 and 100th term is - 292. Find the 50th ...

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  20. The sum of n terms of an A.P. whose first term is 5 and common differe...

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