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Given a,b,c are in A.P.,b,c,d are in G.P...

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 and e=18 , then the sum of all possible value of c is ________.

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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 and e=18 , then the sum of all possible values of c is ________.

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 and e =18, then the possible value of 'c' can be :

If a,b,c, are in A.P., b,c,d are in G.P. and c,d,e, are in H.P., then a,c,e are in

If a,b,c are three distinct numbers in G.P., b,c,a are in A.P and a,bc, abc, in H.P then the possible value of b is

If a, b, c are in A.P., b, c, d are in G.P. and 1/c ,1/d ,1/e are in A.P. prove that a, c, e are in G.P.

If a, b, c are in A.P., b, c, d are in G.P. and 1/c ,1/d ,1/e are in A.P. prove that a, c, e are in G.P.

If a, b, c are in A.P., b, c, d are in G.P. and 1/c ,""1/d ,""1/e are in A.P. prove that a, c, e are in G.P.

If a,b,c are in HP,b,c,d are in GP and c,d,e are in AP, than show that e=(ab^(2))/(2a-b)^(2) .

if a, b, c are in A.P., b, c, d are in G.P. and (1)/(c),(1)/(d),(1)/(e) are in A.P., then prove that a, c, e are in G.P.

If a,b,c are in A.P., b,c,d are in G.P. and (1)/(c ),(1)/(d),(1)/(e ) are in A.P, prove that a,c,e are in G.P.

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. Let S denote sum of the series 3/(2^3)+4/(2^4 .3)+5/(2^6 .3)+6/(2^7 .5...

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  2. Let the sum of first three terms of G.P. with real terms be 13/12 and ...

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

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

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

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

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

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  9. If Sp denotes the sum of the series 1+r^p+r^(2p)+ toooa n dsp the sum ...

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

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

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

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

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

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

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  17. 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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  18. 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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  19. 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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  20. .Let a1, a2,............ be positive real numbers in geometric progr...

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