# Sunday Times Teaser 2681 – Inconsequential

### by Victor Bryant

A sequence of integers in which the difference between consecutive terms is constant is known as an arithmetic sequence.  For example, 10, 29, 48, … is an arithmetic sequence with a ninth term (162) that is divisible by 9.

I have formed another arithmetic sequence that starts with two three digit numbers and has a ninth term that is also divisible by 9.  When I consistently replace different digits with different letters, this sequence starts ONE, TWO, … and its ninth term is NINE.

What nunber does WIN represent?

From → Uncategorized