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Find a, b and c such that the numbers a,...

Find a, b and c such that the numbers a,1 ,b, 15, c are in AP.

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Find a, b and c such that the following numbers are in AP, a, 7, b, 23 and c.

Find a,b and c if it is given that the numbers a,7,b,23,c are in A.P

Three distinct numbers a, b, c form a GP in that order and the numbers a+b, b+c, c+a form an AP in that order. Then the common ratio of the GP is

If 1/(b-a)+1/(b-c)=1/a+1/c , then A. a ,b ,a n dc are in H.P. B. a ,b ,a n dc are in A.P. C. b=a+c D. 3a=b+c

Three distinct numbers a,b,c from a GP in that order and the numbers a-:b,b-:c,c-:a form an AP in that order.Then the common ratio of the GP is :

Let a,b,c,d and e be distinct positive numbers. If a,b,c and 1/c,1/d,1/e both are in A.P. And b,c,d are in G.P.then

if ((b +c -a))/a,((c+a -b))/b, (( a+b -c))/c are in AP, prove that 1/a , 1/b,1/c are in AP.

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There are three numbers a, b and c, such that: a : b : c = 2 : 3 : 1. The sum of a, b and c is 120. Find b.

VK GLOBAL PUBLICATION-ARITHMETIC PROGRESSIONS -PROFICIENCY EXERCISE ( SHORT ANSWER QUESTION I)
  1. If 2, a, 16/3forms an AP, find the value of a.

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  2. For what values of ‘k’, k - 3, 26 + 1 and 4k + 3 are in AP?

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  3. Find a, b and c such that the numbers a,1 ,b, 15, c are in AP.

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  4. Determine k, so that K^(2)+4k+8, 2k^(2)+3k+6 and 3k^(2)+4k+4 are three...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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