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The sum of an infinite G.P. is 57 and th...

The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, then the common ratio of the G.P. is `1//2` b. `2//3` c. `1//6` d. none of these

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. 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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  2. Let a ,b be positive real numbers. If a, A1, A2, b be are in arithmeti...

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  3. The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, ...

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  4. If a^2+b^2,a b+b c and b^2+c^2 are in G.P., then a ,b ,c are in a. A.P...

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  5. If y^2=x za n da^x=b^y=c^z , then prove that (log)6a=(log)c bdot

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  6. The geometric mean between -9 and -16 is 12 b. -12 c. -13 d. none of t...

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  7. The value of 0.2

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  8. If (1+a)(1+a^(2))(1+a^(4)) . . . . (1+a^(128))=underset(r=0)overset(n)...

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  9. The number of terms common between the series 1+2+4+8+ .......to 100 t...

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  10. After striking the floor, a certain ball rebounds (4/5)th of height ...

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  11. If S denotes the sum to infinity and Sn the sum of n terms of the seri...

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  12. The first term of an infinite geometric series is 21. The second term ...

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  13. Given that x+y+z=15 when a ,x ,y ,z ,b are in A.P. and 1/x+1/y+1/z=5/3...

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  14. Let a1,a2,a3…… ,an be in G.P such that 3a1+7a2 +3a3-4a5=0 Then common...

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  15. The consecutive digits of a three digit number are in G.P. If middle ...

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  16. If Sn=1^2-2^2+3^2-4^2+5^2-6^2+ ,t h e n S(40)=-820 b. S(2n)> S(2n+2) ...

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  17. If sum(r=1)^n r(r+1)(2r+3)=a n^4+b n^3+c n^2+d n+e , then (a) a-b=d-c ...

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  18. Find the sum off the terms of an infinite decreasing G.P. in which all...

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  19. If a,x,b are in A.P.,a,y,b are in G.P. and a,z,b are in H.P. such that...

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  20. If a,b, and c are in G.P then a+b,2b and b+ c are in

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