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Let f(x)=2x+1. Then the number of real n...

Let `f(x)=2x+1.` Then the number of real number of real values of `x` for which the three unequal numbers `f(x),f(2x),f(4x)` are in G.P. is `1` b. `2` c. `0` d. none of these

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Given a,b,c are in A.P.,b,c,d are in G.P and c,d,e are in H.P .If a=2 ...

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  2. The terms a1,a2,a3 form an arithmetic sequence whose sum is 18.The ter...

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  3. Let f(x)=2x+1. Then the number of real number of real values of x for ...

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  4. Concentric circles of radii 1,2,3,. . . . ,100 c m are drawn. The inte...

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  5. Let {tn} be a sequence of integers in G.P. in which t4: t6=1:4 and t2+...

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  6. If x ,2y ,3z are in A.P., where the distinct numbers x ,y ,z are in G....

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  7. If a,b,c,d are in GP then prove that, (a^2-b^2), (b^2-c^2), (c^2-d^2)...

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  8. If x ,y ,z are real and 4x^2+9y^2+16 z^2-6x y-12 y z-8z x=0,t h e nx ,...

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  9. If a, b, care in GP then prove that a^3, b^3, c^3 are in GP.

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  10. The second term of an H.P. is 3/14 and the fifth term is 1/10 . Find...

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  11. A pack contains n cards numbered from 1 to n. Two consecutive numbered...

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  12. If the sixth term of an H.P. is 10 and the 11th term is 18 Find the 16...

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  13. If he equation x^3+a x^2+b x+216=0 has three real roots in G.P., then ...

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  14. Let Tr be the rth term of an A.P., for r=1,2,3,..... If for some pos...

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  15. Let An = (3/4) -(3/4)^2 + (3/4)^3 +.....+(-1)^(n - 1) (3/4)^n , Bn = 1...

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  16. For a positive integer n let a(n)=1+1/2+1/3+1/4+.......+1/((2^n)-1) th...

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  17. If x >1,y >1,a n dz >1 are in G.P., then 1/(1+lnx),1/(1+l ny)a n d1/(1...

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  18. Compute the 100th term of HP if the 10th and 20th term of HP are 20 an...

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  19. Find the 6th and nth term of the GP 2, 6, 18, 54,.....

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  20. If a,b,c are in AP and a^2,b^2,c^2 are in HP, then

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