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Write the value of a(25) -a(15) for the...

Write the value of `a_(25) -a_(15)` for the AP 5, 9, 13, 17..................

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Let A = [ a_(ij) ] be a square matrix of order 3xx 3 and |A|= -7. Find the value of a_(11) A_(11) +a_(12) A_(12) + a_(13) A_(13) where A_(ij) is the cofactor of element a_(ij)

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VK GLOBAL PUBLICATION-ARITHMETIC PROGRESSIONS -PROFICIENCY EXERCISE ( SHORT ANSWER QUESTION I)
  1. Determine k, so that K^(2)+4k+8, 2k^(2)+3k+6 and 3k^(2)+4k+4 are three...

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  2. Without using the formula for the nth term, find which term of the AP ...

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  3. Write the value of a(25) -a(15) for the AP 5, 9, 13, 17.................

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  4. Write 7th term from the end of the AP: 7, 9, 11, 13,............213.

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  5. The nth term of an AP is 5n+ 2. Find the common difference.

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  6. The general term of a sequence is given by an=-4n+15 . Is the se...

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

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

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

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

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

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

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  13. How many terms are there in the A.P. -1,\ -5/6,\ -2/3,-1/2,\ ,(10)/3?

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

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

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

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

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

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

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

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