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If `a x^3+b x^2+c x+d` is divisible by `a x^2+c ,t h e na ,b ,c ,d` are in a. A.P. b. G.P. c. H.P. d. none of these

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. If (1+3+5++p)+(1+3+5++q)=(1+3+5++r) where each set of parentheses cont...

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  3. If a x^3+b x^2+c x+d is divisible by a x^2+c ,t h e na ,b ,c ,d are in...

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  4. If the lines 3x + by + 5 = 0 and ax – 5y + 7 = 0 are perpendicular to ...

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  5. In a geometric series, the first term is a and common ratio is rdot If...

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  10. The sum of first 15 terms of an A.P. is 750 and its first term is 15. ...

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  11. The coefficient of x^(49) in the product (x-1)(x-3)(x-99)i s a. -99^...

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  12. Let S=4/(19)+(44)/(19^2)+(444)/(19^3)+ u ptooo . Then s is equal to a....

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  13. If Hn=1+1/2+...+1/ndot , then the value of Sn=1+3/2+5/3+...+(99)/(50) ...

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  14. If the sum to infinity of the series 1+2r+3r^2+4r^3+ is 9/4, then val...

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  15. The sum o f series 1+4/5+7/(5^2)+(10)/(5^3)+oo is a. 7//16 b. 5//16 ...

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  16. The sum 20 terms of a series whose rth term is given by Tr=(-1)^r((r^2...

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  17. Consider the sequence 1,2,2,4,4,4,4,8,8,8,8,8,8,8,8,... Then 1025th te...

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  18. If the first term of an A.P. is – 18 and its 10th term is zero, then f...

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  19. Suppose that F(n + 1) =(2F(n) + 1)/2 for n = 1,2,3,,,, and F(1) = 2. T...

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  20. If the numbers n – 2, 4n – 1 and 5n + 2 are in A.P., find the value of...

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