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Find the sum of the following series to ...

Find the sum of the following series to infinity: `10-9+8. 1-7. 29+oo`

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Given, `10-9+8. 1-7. 29+oo`

`S_(o o)=(a)/(1-r)`

`a=10, r=-0.9`

`S_(o o)=(10)/(1+0.9)`

`S_(o o)=(10)/(1.9)`

`S_(o o)=(100)/(19)`

`S_(o o)=5.263`
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RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
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  2. Find the sum of the following series to infinity: 8+4sqrt(2)+4+oo

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  3. Find the sum of the following series to infinity: 10-9+8. 1-7. 29+oo

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  5. Prove that: 2^(1/4).4^(1/8), 8^(1/16). 16^(1/32)......... oo=2.

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  6. The terms of an infinitely decreasing G.P. in which all the terms are ...

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  8. Find the rational numbers having the following decimal expansion:\ 0. ...

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  10. Find the rational numbers having the following decimal expansion: \ 0....

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  12. Show that in an infinite G.P. with common ratio r(|r|<1) , each term b...

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  15. If a ,\ b ,\ c ,\ d are in G.P., show that: (a b+b c+c d)^2=(a^2+b^2+c...

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