To find the first five terms of the sequence given by an = 1n + 16n, we need to substitute the values of n starting from 1 to 5 into the expression.
- For n = 1:
a1 = 11 + 161 = 1 + 16 = 17 - For n = 2:
a2 = 12 + 162 = 1 + 256 = 257 - For n = 3:
a3 = 13 + 163 = 1 + 4096 = 4097 - For n = 4:
a4 = 14 + 164 = 1 + 65536 = 65537 - For n = 5:
a5 = 15 + 165 = 1 + 1048576 = 1048577
Therefore, the first five terms of the sequence are: 17, 257, 4097, 65537, 1048577.