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In an infinite G.P., each term is equal ...

In an infinite G.P., each term is equal to three times the sum of all the terms that follow it and the sum of the first two terms is 15, find the sum of the series to infinity.

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CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 D (Very Short Answer Type Questions)
  1. Find the sum of each of the following infinite geometric series, if it...

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  2. Express each of the following recurring decimals in the form of an inf...

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  3. Express each of the following recurring decimals in the form of an inf...

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  4. Express each of the following recurring decimals in the form of an inf...

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  5. Express each of the following recurring decimals in the form of an inf...

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  6. Express 0.overset(.)4 as an infinite geometric series and hence prove ...

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  7. The sum of an infinite geometric series is (1)/(3) and its first terms...

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  8. The sum of an infinite geometric series is 6 and the sum of its first ...

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  9. In a G.P. the sum of infinite terms is 15, the sum of the squares of t...

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  10. Two infinite geometric series starts from the same number. If the comm...

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  11. The distance passed over by a certain pendulum bob in succeeding swing...

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  12. In an infinite G.P., each term is equal to three times the sum of all ...

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  13. If x = a + (a)/(r ) + (a)/(r^(2))+…oo (-1 lt (1)/(r ) lt 1), y = b -...

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  14. If |a| lt 1, |b| lt 1, then show that a(a+b) + a^(2) (a^(2) + b^(2))...

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  15. If, for real numbers a, b, c, r with |r| gt 1, x = a + (a)/(r ) + (a)/...

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  16. If for two reals a, b, with |a| gt 1, |b| gt 1, x = 1 + (1)/(a) + (1)/...

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  17. For a real number 'a' with |a| lt 1, if x = a - a^(3) + a^(5)-…, y = 1...

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  18. For a real number a with 0 lt a lt (1)/(2), if b = 1 - a + a^(2) - a^(...

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  19. If, for 0 lt a lt (1)/(2), the sum of series a+a^(2) + a^(3)+… is b, t...

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  20. If x = underset(n = 0)overset(oo)Sigma cos^(2n)theta, " " y = underset...

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