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If a ,b ,c ,d are in G.P., prove that a...

If `a ,b ,c ,d` are in G.P., prove that `a+b,b+c ,c+d` are also in G.P.

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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. How many terms of the G.P. 3,3//2,3//4, be taken together to make (30...

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  2. If a ,b ,c ,d are in A.P. and x , y , z are in G.P., then show that x^...

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  3. If a ,b ,c ,d are in G.P., prove that a+b,b+c ,c+d are also in G.P.

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  4. If a ,b ,c are in G.P., then prove that loga^n ,logb^n ,logc^n are in ...

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  5. If p ,q ,r are in A.P., show that the pth, qth and rth terms of any G....

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  6. If S denotes the sum of an infinite G.P. adn S1 denotes the sum of the...

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  7. The sum of first two terms of an infinite G.P. is 5 and each term is ...

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  8. One side of an equilateral triangle is 18 cm. The mid-point of its ...

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  9. If Sp denotes the sum of the series 1+r^p+r^(2p)+... tooo and S(p') t...

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  10. If each term of an infinite G.P. is twice the sum of the terms foll...

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  11. If |x|<1a n d|y|<1, find the sum of infinity of the following series:...

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  12. Find the sum of n terms of the sequence (x+1/x)^2,(x^2+1/(x^2))^2,(x^3...

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  13. Find the sum to n terms of the sequence given by an=2^n,n in Ndot

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  14. Sum the series : x(x+y)+x^2(x^2+y^2)+x^3(x^3+y^3+ ton terms.

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  15. Find the sum of the following series : 0. 7+0. 77+0. 777+ ton term...

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  16. The product of three numbers in G.P. is 216. If 2, 8, 6, be added to ...

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  17. Find the sum of 10 terms of the G.P. 3, 6, 12,...

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  18. In a G.P the sum of the first and last terms is 66, the product of the...

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  19. If S1,S2a n dS3 be respectively the sum of n, 2n and 3n terms of a G....

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  20. Determine the number of terms in G.P. if a1=3,an=96 and Sn=189.

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