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Find the sum of each of the following in...

Find the sum of each of the following infinite geometric series, if it exists :
`(4)/(7) - (5)/(7^(2)) + (4)/(7^(3)) - (5)/(7^(4)) + (4)/(7^(5)) - (5)/(7^(6)) +…oo`

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The correct Answer is:
`(23)/(48)`
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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. Find the sum of each of the following infinite geometric series, if it...

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  3. Find the sum of each of the following infinite geometric series, if it...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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