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If the p^(th) term of an A.P is q and q^...

If the `p^(th)` term of an A.P is q and `q^(th)` term is p, prove that its `n^(th)` term is (p+q-n)

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VK GLOBAL PUBLICATION-ARITHMETIC PROGRESSIONS -PROFICIENCY EXERCISE ( SHORT ANSWER QUESTION II)
  1. How many multiples of 5 lie between 50 and 250?

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  2. How many three-digit numbers are divisible by 9?

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  3. If the p^(th) term of an A.P is q and q^(th) term is p, prove that its...

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  4. If m times the mth term of an AP is equal to n times its nth term, the...

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  5. Is -156 a term of the AP 17, 14, 11, 8 .......... ?

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  6. Find the number of terms of an AP whose first and last terms are 5 and...

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  7. In an AP, the sum of first ten terms is -150 and the sum of its next t...

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  8. Which term of the A.P. 3,10,17, ... with be 84 more than its 13th t...

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  9. If 9t h term of an A.P. is zero, prove that its 29 t h term is d...

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  10. For what value of n, are the nth terms of two AP’s : 15, 12, 9 ,.........

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  11. The sum of the 6th and 9 th terms ofan AP is 101 and the sum of the 10...

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  12. The 4t h term of an A.P. is three times the first and the 7t h term...

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  13. The sum of three terms of an A.P. is 21 and the product of the first ...

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  14. If the sum of the first n terms of an AP is 4n - n^(2), what is the 10...

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  15. If the nth term of an AP is (2n +1) then the sum of its first three te...

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  16. The sum of first six terms of an A.P. is 42. The ratio of its 10th ter...

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  17. Find the sum of all three digit natural numbers, which are divisible b...

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  18. Find the sum of the AP 3, 9/2 , 6,15/2 ...... to 25 terms.

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  19. How many terms are there in the A.P. whose first and fifth terms are ...

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  20. Solve the equation -4+(-1)+2+ … +x =437.

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