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A geometric progression of real number i...

A geometric progression of real number is such that the sum of its first four terms is equal to 30 and the sum of teh square of the first four terms is 340. then

A

two such GP are possible

B

it must be a decreasing GP

C

the common ratio is always rational

D

the first term is always an even integer

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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
  1. The pth term Tp of HP is q(p+q) and qth term Tq is p(p+q) when pgt1,qg...

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

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  3. A geometric progression of real number is such that the sum of its fir...

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  4. If the first and the (2n-1)^th term of an A.P,G.P anf H.P are equal an...

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  5. If a,b,c be in H.P prove that (1/a+1/b-1/c)(1/b+1/c-1/a)=4/(ac)-3/b^2

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  6. Which one of the following statements is correct ?

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  7. Let sinalpha,cosalpha, be the roots of the equation x^2-bx+c=0. Then w...

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  8. Which one of the following statements is correct ?

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  9. The sum V1+V2+.....Vn is

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  10. Tr is always

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  11. Which one of the following statements is correct ?

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  12. Match List-I with List-II

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  13. The roots of equation x^2+2(a-3)x+9=0 lie between -6 and 1 and 2 , h1,...

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  14. If a,b,c ,d are distinct integer in AP such that d=a^2+b^2+c^2, then a...

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  15. If log2(a+b)+log2(c+d)ge4 . Then the minimum value of the expression a...

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  16. Let a1,a2,a3,.......a11 be real number satisfying a1=15,27-2a2gt0 anda...

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  17. The interior angles of a polygon are in arithmetic progression. The sm...

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  18. Find the sum of the first n terms of the series 1^3+3.2^2+3^3+3.4^2+5^...

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  19. Find the sum of the first n terms of the series 1^3+3.2^2+3^3+3.4^2+5^...

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  20. Does there exist a GP containing 27,8 and 12 as three of its terms ? I...

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