Question

1, 4, 13, 40, 121 what is the next number in the pattern

Answer 1

Add powers of 3.
1 + 3 = 4
4 + 9 = 13 = 4 + 3^2
13 + 27 = 40 = 13 + 3^3
40 + 81 = 121 = 40 + 3^4
Now you need to add 3^5 to 121.

121 + 3^5 = 121 + 243 = 364