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The first and the last terms of an AP...

The first and the last terms of an AP are 7 and 49 respectively. If sum of all its terms is 420, find its common difference.

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VK GLOBAL PUBLICATION-ARITHMETIC PROGRESSIONS -PROFICIENCY EXERCISE ( SHORT ANSWER QUESTION I)
  1. The general term of a sequence is given by an=-4n+15 . Is the se...

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  2. Write the sequence with nth terms: an=3+4n (ii) an=5+2n an=6-n (iv) a...

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  3. Find the 6t h term from the end of the AdotPdot 17 ,\ 14 ,\ 11 ,\ d...

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  4. Which term of the A.P. 21 ,\ 42 ,\ 63 ,\ 84 ,\ dot is 420?

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  5. Which term of the AP: 115, 110, 105,.............is its first negative...

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  6. If the sum of the first q terms of an AP is 2q + 3q^(2), what is its c...

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  7. Find the common difference of an AP whose first term is 4, the last te...

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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. In an A.P., the sum of first n terms is (3n^2)/2+(13)/2n . Find its...

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  10. If the sequence <<an>> is A.P., show that a(m+n)+a(m-n)=2amdot\

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  11. Which of the following form an ap ? Justify your answer 0, 0, 1, 1, ...

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  12. Which of the following form of an AP ? Justify Your answer. (i) -1,-...

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  13. Which of the following form an ap ? Justify your answer sqrt(3),sqrt...

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  14. Is 0 a term of the AP 31, 28, 25, …? Justify your answer.

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  15. Is the sum of m terms of an AP always less than the sum of (m +1) term...

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  16. Is it true to say that an=3n^(2) + 5 is the n^(th) term of an A.P. seq...

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  17. For the AP -3, -7, -11, … can we find directly a(30)-a(20) without ac...

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  18. The first and the last terms of an AP are 7 and 49 respectively. If...

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  19. The sum of the 2nd and the 7th terms of an AP is 30. If its 15th term ...

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  20. The sum of the first n terms of an A.P. is 4n^2+2n . Find the n ...

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