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Series

Find 9 S n - ...

Question

Find 9(S_n- S_n-1) if S_n (1≤n≤9) is the sum to n terms of the following series 1+22+333+4444+...999999999

10ⁿ –n² +n

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n(10ⁿ-1)

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n(100ⁿ-2)

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n²+10n

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Solution

The correct option is B n(10ⁿ-1)
Option B is the correct answer.

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