The first term of a sequence is 13. Starting with the second term, each term is the sum of the cubes of the digits in the previous term. For example, the second term is Find the 100th term.
+130071 Let's see if we have a pattern
Term
1 = 13
2 = 1^3 + 3^3 = 28
3 = 2^3 + 8^3 = 520
4 = 5^3 + 2^3 = 133
5 = 1^3 + 3^3 + 3^3 = 55
6 = 5^3 + 5^3 = 250
7 = 2^3 + 5^3 = 133
8 = 1^3 + 3^3 + 3^3 = 55
9 = 5^3 + 5^3 = 250
Notice that.....after the 3rd term, the pattern repeats in cycles of 3
The 100th term is 100 mod 3 = 1 = 1st term in the pattern = 133
