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?