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0.2 + 0.22 + 0.222 + …….. to n terms =...

`0.2 + 0.22 + 0.222 + ……..` to `n` terms =

A

`(2/9) - (2/81)(1 - 10^(-n))`

B

`n - (1/9)(1 - 10^(-n))`

C

`(2/9)[n - (1/9)(1 - 10^(-n))]`

D

`2/9`

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The correct Answer is:
C
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NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS
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  3. If (a^(n + 1) + b^(n + 1))/(a^(n) + b^(n)) is the arithmetic mean betw...

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  8. How many terms of the geometric series 1 + 4 + 16 + 64 + ……… will make...

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  9. Find the value of n so that (a^(n+1)+b^(n+1))/(a^(n)+b^n) may be the ...

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  10. The sum of the series 1 + 2.2 + 3.2^(2) + 4.2^(3) + 5.2^(4) + ……… + 1...

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  11. If A, G, H denote respectively the AM, GM and HM between two unequal p...

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  12. Let a, b, c be district real numbers. If a, b, c are in G.P and a + b ...

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  13. The numbers of terms of the A.P 3, 7, 11, 15, …… to be taken so that t...

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