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If p ,q ,a n dr are inA.P., show that th...

If `p ,q ,a n dr` are inA.P., show that the pth, qth, and rth terms of any G.P. are in G.P.

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Find the sum of 20th term of the A.P (x+y), (x-y), (x-3y), ....

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  2. Find the sum of the series 2+5+8+11+.....+191

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  3. If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of a...

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  4. If n >1 , the value of the positive integer m for which n^m+1 divides ...

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  5. For an increasing A.P. a1, a2, an ifa1+a3+a5=-12 and a1a3a5=80 , then...

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  6. If p(x)=(1+x^2+x^4++x^(2n-2))//(1+x+x^2++x^(n-1)) is a polomial in x ,...

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  7. Find the sum of all even integers between 101 and 199.

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  8. Match the statements/expressions given in column I with the values g...

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  9. Prove that 1+i^2+i^4+i^6 =0

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  10. if a ,b ,c are in G.P.,then (log)a 10 ,(log)b10,(log)c 10 are in

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  11. The 15th term of the series 2 1/2+1 7/(13)+1 1/9+(20)/(23)+.... i s (...

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  12. Let a1,a2,a3,.......a11 be real number satisfying a1=15,27-2a2gt0 anda...

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  13. The coefficients of x^n in (1+x/(1!)+x^2/(2!)+……+x^n/(n!))^2 is

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  14. If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z), then x ,y ,a n dz are in a...

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  15. Find the conjugate of the following: sqrt (-3)

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  16. The x=1111....1 of 91 times of is a (a) Even number. (b) Prime numbe...

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  17. Which term of the AP 64, 60, 56, 52, 48 ,.... is 0 .

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  18. Statement 1: Sum of the series 1^3-2^3+3^3-4^3++11^3=378. - Statement ...

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  19. Statement 1: 1^(99)+2^(99)++100^(99) is divisible by 10100. Statement...

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  20. Find the nth term of the AP 8, 3, -2, -7, -12,....

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