Question

# The next number in the series 13, 18, 16, 21, 19

Series
The next number in the series 13, 18, 16, 21, 19

2021-01-20
Given: 13,18,16,21,19
We note:
18=13+5 and thus the second term is the first term increased by 5
16=18-2 and thus the third term is the second term decreased by 2
21=16+5 and thus the fourth term is the third term increased by 5
19=21-2 and thus the fifth term is the fourth term decreased by 2
Thus we note that we alternately increase the previous term by 5 and decreased the previous term by 2.
We last decreased by 2 and thus we expect the next term to be the last term increased by 5.
19+5=24
Thus we expect the next number in the series to be 24.