Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesSpecial sequences/seriesMedium2 minQB

MathematicsMediumsingle choice

The arithmetic mean of $9, 99, 999, \dots, 999999999$ (nine terms) is a nine-digit number $N$ with distinct digits. Which digit does $N$ not contain?

Answer:

Solution:

Dividing each repdigit by 9 and adding gives $N = 1 + 11 + 111 + \dots + 111111111 = 123456789$ , which contains no zero.

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:Special sequences/series

⏱ 2mℹ️ Source: QB

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