1, 15, 9, 14, 18, 20, 25, 6?
What is the next number in the sequence?
Note: This sequence is not in the OEIS
The next number is:
$a_{n+1}$ is n-th letter of $a_n$ encoded with A1Z26.
$a_1 = 1 \rightarrow$ "one" $\rightarrow$ the first letter is O $\rightarrow 15$
$a_2 = 15 \rightarrow$ "fifteen" $\rightarrow$ the second letter is I $\rightarrow 9$
$a_3 = 9 \rightarrow$ "nine" $\rightarrow$ the third letter is N $\rightarrow 14$
$a_4 = 14 \rightarrow$ "fourteen" $\rightarrow$ the fourth letter is R $\rightarrow 18$
$a_5 = 18 \rightarrow$ "eighteen" $\rightarrow$ the fifth letter is T $\rightarrow 20$
$a_6 = 20 \rightarrow$ "twenty" $\rightarrow$ the sixth letter is Y $\rightarrow 25$
$a_7 = 25 \rightarrow$ "twenty five" $\rightarrow$ the seventh letter is F $\rightarrow 6$
$a_8 = 6 \rightarrow$ "six" $\rightarrow$ the eighth letter doesn't exist - there is no next value in the sequence
Here is my answer, along with some reasoning for it.
15-14=1 9+6=15 15-6=9 15-1=14 (15+9)-6=18 14+6=20 (20+6)-1=25 15-9=6 (6-1)=5