I couldn't see any mathematical pattern. So I got the
notion to write out the names for the numbers:
10 = ten <-- spelled with 3 letters
4 = four <-- spelled with 4 letters
60 = sixty <-- spelled with 5 letters
90 = ninety <-- spelled with 6 letters
70 = seventy <-- spelled with 7 letters
18 = eighteen <-- spelled with 8 letters
I notice that each one contains one more letter
than the preceding one. So the next number must
be spelled with 9 letters, since "eighteen" is
spelled with 8 letters.
But I wondered why "1 = one" or "2 = two", or "6 = six",
which are also spelled with 3 letters, weren't chosen for
the first number instead of "10 = ten". So I decided that
it must be because 10 is the LARGEST whole number whose
name is spelled with only 3 letters.
But then that made me wonder why "9 = nine" wasn't chosen
for the second number instead of "4 = four", since 9 is larger
and also spelled with 4 letters. Then I noticed that all the
numbers are even. So that's explains why "9 = nine" wasn't
chosen for the second number.
The pattern is that it's the largest EVEN number that can be spelled
with that many letters.
But then I wondered why "70 = seventy" was chosen and not
"100 = hundred", since both "seventy" and "hundred" have 7 letters.
And 100 is an even number! Then it occurred to me that the official
name for 100 is not "hundred" but "one hundred".
So then I looked for the largest whole EVEN number whose official
name is spelled with 9 letters. I came up with "ninety-six",
as the largest even number spelled with 9 letters. I assume the
hyphen doesn't count as a letter.
So my answer is that the next number is 96.
10 = ten <-- largest even number spelled with 3 letters
4 = four <-- largest even number spelled with 4 letters
60 = sixty <-- largest even number spelled with 5 letters
90 = ninety <-- largest even number spelled with 6 letters
70 = seventy <-- largest even number spelled with 7 letters
18 = eighteen <-- largest even number spelled with 8 letters
96 = ninety-six <-- largest even number spelled with 9 letters
Edwin