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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 PUBLICATION-SEQUENCES AND SERIES-All Questions
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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 a.12 b. -12 c. -13 d. none of...

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  7. The value of 0.568 x 4.9 =?

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  8. If (1+x)(1+x^2)(1+x^4)....(1+x^128)=sum(r=0)^nx^r then n is

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

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  10. Express the given complex number in (a+ib) form: (5-2i)^2

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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. If (a-b), (b-c), (c-a) are in GP then prove that (a+b+c)^2 =3(ab+bc+ca...

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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 find c...

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  15. The 9th term of the series 27+9+52/5+36/7+.... will be (a) 110/17 (b...

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  16. If a, b, c are in GP then prove that, (a+2b+2c)(a-2b+2c)= a^2+ 4c^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. If a,b,c,d are in GP then prove thst (b+c)(b+d) =(c+a)(c+d)

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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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