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Two APs have the same common difference....

Two APs have the same common difference. The difference between their `100^(t h)` terms is 100, what is the difference between their `1000^(t h)` terms?

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RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. Determine the AP whose third term is 16 and the 7th term exceeds the 5...

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  2. The 7t h term of an A.P. is 32 and its 13 t h term is 62. Find t...

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  3. Two APs have the same common difference. The difference between the...

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  4. For what value of n, are the with terms of two APs: 63, 65, 67, . . . ...

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  5. How many multiples of 4 lie between 10 and 250?

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  6. How many three digit numbers are divisible by 7?

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  7. Three numbers are in A.P. If the sum of these numbers be 27 and the...

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  8. Find the four numbers in A.P., whose sum is 50 and in which the gre...

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  9. Find the value of x for which (8x+4),\ (6x-2) and (2x+7) are in A.P...

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  10. If x+1,\ 3x and 4x+2 are in A.P., find the value of x .

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  11. Show that (a-b)^2,\ (a^2+b^2) and (a+b)^2 are in A.P.

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  12. Find the sum of 20 terms of the AP 1, 4, 7, 10,....

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  13. Find the sum of first n natural numbers.

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  14. Find the sum of all odd integers between 2 and 100 divisible by 3

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  15. How many terms of the series 54,51, 48,.. be taken so that their sum i...

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  16. Find the number of terms in the series 20 ,19 1/3,18 2/3... the sum of...

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  17. The sum of n, 2n, 3n terms of an A.P. are S1, S2, S3 respectively. Pro...

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  18. The sums of n terms of three arithmetical progressions are S1, S2and ...

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  19. If the sum of first m terms of an A.P. is the same as the sum of its f...

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  20. The ratio of the sums of m and n terms of an A.P. is m^2: n^2 .Sho...

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