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Determine k, so that K^(2)+4k+8, 2k^(2)+...

Determine k, so that `K^(2)+4k+8, 2k^(2)+3k+6` and `3k^(2)+4k+4` are three consecutive terms of an AP.

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The correct Answer is:
`k = 0`
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OSWAL PUBLICATION-ARITHMETIC PROGRESSIONS -NCERT EXAMPLAR (EXERCISE-5.3)
  1. If the 9^(th) term of an A.P. is zero, then prove that 29^(th) term is...

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  2. Find whether 55 is a term of the AP 7, 10, 13, … or not. If yes, find ...

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

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  4. Split 207 into three parts such that these are in AP and the product o...

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  5. The angles of a triangle are in A.P. The greatest angle is twice the l...

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  6. If the nth terms of the two AP's 9, 7, 5, … and 24, 21, 18, … are the ...

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  7. If sum of the 3 ^(rd) and the 8^(th) terms of A.P. is 7 and the sum of...

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  8. Find the 12th term from the end of the AP-2, -4, -6, …, -100.

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  9. Which term of the AP 53, 48, 43, … is the first negative term ?

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  10. How many numbers lie between 10 and 300, which divided by 4 leave a re...

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  11. Find the sum of two middle terms of the AP -4/3,-1,-2/3,-1/3,...,4(1/3...

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  12. The first term of an AP is -5 and the last term is 45. If the sum of t...

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  13. Find the sum : 1+1.2+1.4+1.6+1.8+... (upto 21 terms)

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  14. Find: (4-1/n)+(7-2/n) +(10-3/n) ... upto n terms

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  15. Find the sum (i) 1+(-2)+(-5)+(-8)+ … +(-236) (ii) (4-(1)/(n))+(4-(...

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  16. Which term of the AP -2,-7,-12, … will be -77 ? Find the sum of this A...

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  17. If a(n)=3-4n, then show that a(1),a(2),a(3), … form an AP. Also, find ...

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  18. In an AP, If S(n)=n(4n+1), then find the AP.

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  19. In an AP, If S(n)=3n^(2)+5n and a(k)=164, then find the value of k.

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  20. If Sn denotes the sum of first n terms of an A.P., prove that S(...

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