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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 ENGLISH-SEQUENCES AND SERIES-All Questions
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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 Sp denotes the sum of the series 1+r^p+r^(2p)+ toooa n dsp the sum ...

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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 a1, a2, ,an are in H.P., then (a1)/(a2+a3++an),(a2)/(a1+a3++an), ...

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  10. If H1, H2, ,H(20) are 20 harmonic means between 2 and 3, then (H1+2)/...

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

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  12. Let an=16 ,4,1, be a geometric sequence. Define Pn as the product o...

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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. If an=3/4-(3/4)^2+(3/4)^3+...(-1)^(n-1)(3/4)^n and bn=1-an, then find ...

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

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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. .Let a1, a2,............ be positive real numbers in geometric progr...

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  19. about to only mathematics

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  20. If a ,b ,c are in A.P. and a^2, b^2, c^2 are in H.P., then prove tha...

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