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If a^2+b^2,a b+b c and b^2+c^2 are in G....

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. b. G.P. c. H.P. d. none of these

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

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

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

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

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  6. The value of 0.568 x 4.9 =?

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

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

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

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

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  11. 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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  12. 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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  13. Let a1,a2,a3…… ,an be in G.P such that 3a1+7a2 +3a3-4a5=0 Then find c...

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

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

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  16. 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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  17. If a,b,c,d are in GP then prove thst (b+c)(b+d) =(c+a)(c+d)

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

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  20. If in a progression a1, a2, a3,.......... e tc dot,(ar-a(r+1)) bears...

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