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Permutation: n Different Things Taken All at a Time When All Are Not Different

Find the sum ...

Question

Find the sum of n terms of the series 0.3 + 0.33 + 0.333 + . . . .

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Solution

$\frac{n}{3} - \frac{1}{27} + \frac{1}{27} (10)^{- n}$

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Similar questions

n^{t h}

term and the sum of first

n

terms of the sequence

0.3

0.33

0.333

0.3333

Q. Find the sum of

\frac{0.3}{0.5} + \frac{0.33}{0.55} + \frac{0.333}{0.555} + \dots \dots

Q. Find the sum to 9 terms of the series

0 \times 3 + 0.33 + 0.333 + \dots \dots

Check whether the following sequence is A.P. If it is A.P., Find the common difference.

0.3, 0.33, 0.333...

Q. Find the sum of

n

terms of the series.

0.5 + 0.55 + 0.555 + . . . . n

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Permutation: n Different Things Taken All at a Time When All Are Not Different

Standard XI Mathematics

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