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Write the expression an-ak for the ...

Write the expression `a_n-a_k` for the A.P. `a ,\ a+d ,\ a+2d ,\ ddot` Hence, find the common difference of the A.P. for which `11 t h` term is 5 and `13 t h` term is 79

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Write the expression a_n-a_k for the A.P. a, a+ d, a + 2d.........., Hence, find the common difference of the A.P. for which (i) 11th term is 5 and 13th term is 79 (ii) a_10- a_5 =200 (ii) 20th term is 10 more than the 18th term.

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RD SHARMA-ARITHMETIC PROGRESSIONS-All Questions
  1. The first term of an A.P. is 5 and its 100 t h term is -292 . Find ...

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  2. Find a(30)-a(20) for the A.P. -9,\ -14 ,\ -19 ,\ -24 ,\ dot (ii) a ...

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  3. Write the expression an-ak for the A.P. a ,\ a+d ,\ a+2d ,\ ddot...

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  4. Write the expression an-ak for the A.P. a ,\ a+d ,\ a+2d ,\ ddot...

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  5. Write the expression an-ak for the A.P. a ,\ a+d ,\ a+2d ,\ ddot...

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  6. Find n if the given value of x is the n t h term of the given A....

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  7. Find n if the given value of x is the n t h term of the given A....

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  8. If an A.P. consists of n terms with first term a and n^(th) term l the...

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  9. Determine the AP whose third term is 16 and the 7th term exceeds the 5...

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

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

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

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

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

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

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

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

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

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

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

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