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The sum of first two terms of an infinit...

The sum of first two terms of an infinite G.P. is 5 and each term is three times the sum of the succeeding terms. Find the G.P.

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To solve the problem, we need to find the terms of an infinite geometric progression (G.P.) given the conditions. Let's break it down step by step. ### Step 1: Define the terms of the G.P. Let the first term of the G.P. be \( a \) and the common ratio be \( r \). Therefore, the first two terms of the G.P. are: - First term: \( a \) - Second term: \( ar \) ### Step 2: Set up the equation for the sum of the first two terms ...
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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. If p ,q ,r are in A.P., show that the pth, qth and rth terms of any G....

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. How many terms of the geometric series 1+4+16+64+ will make the sum 54...

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  18. Find the sum of an infinitely decreasing G.P. whose first term is equa...

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  19. If x=sum(n=0)^oocos^(2n)theta,y=sum(n=0)^oosin^(2n)varphi,z=sum(n=0)^o...

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  20. The sum of an infinite G.P. is 57 and the sum of their cubes is 9457 ,...

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