whole numbers with digit 9 in the ones place

All whole numbers that have the digit 9 in the ones place are exactly those that end in 9 when written in standard decimal form.

General form

Any such number can be written as

10n+910n+910n+9

where nnn is a whole number (0, 1, 2, 3, …).

• If n=0n=0n=0, you get 10⋅0+9=910\cdot 0+9=910⋅0+9=9.

• If n=1n=1n=1, you get 19.
• If n=2n=2n=2, you get 29.
• And so on: 39, 49, 59, 69, 79, 89, 99, 109, …

So the list of whole numbers with digit 9 in the ones place is:
9, 19, 29, 39, 49, 59, 69, 79, 89, 99, 109, 119, 129, …, in general 10n+910n+910n+9.

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