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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 :
`1 + (1)/(3) + (1)/(9) + (1)/(27) +…oo`

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The correct Answer is:
`(2)/(3)`
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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. Find the sum of each of the following infinite geometric series, if it...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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