4, 23, 20, 12, 14, 9, 20, 19, ?
Also explain your reasoning.
Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. It only takes a minute to sign up.
Sign up to join this communityThe answer is
9
because
In the title of the question, the words begin with DWTLNITSI, corresponding to positions 4, 23, 20, 12, 14, 9, 20, 19, 9 in the alphabet.
4, 23, 20, 12, 14, 9, 20, 19, ?
19, -3, -8, 2, -5, 11, -1, ?
-22, -5, -6, -7, -16, -12, ?
17, -1, -1, -9, 4, ?
-18, 0, -8, 13, ?
18, -8, 21, ?
-26, 29, ?
45, ?
We can achieve that by using a difference table. Then starting by the bottom we can work out way up by replacing the first "?" with another 45:
4, 23, 20, 12, 14, 9, 20, 19, 118
19, -3, -8, 2, -5, 11, -1, 99
-22, -5, -6, -7, -16, -12, 100
17, -1, -1, -9, 4, 112
-18, 0, -8, 13, 108
18, -8, 21, 95
-26, 29, 74
45, 45
So the next number in the sequence is 118. Making the full sequence:
4, 23, 20, 12, 14, 9, 20, 19, 118
That is unless I made a mistake calculating
Note: This may not be the answer you're looking for, and I get that, but it doesn't make this answer any less correct; so please do not downvote.