Final answer:
The next number in the sequence is 84.
Step-by-step explanation:
The given sequence is: 76,80,88,95,100,101.
let's look at the differences between consecutive numbers:
80 - 76 = 4
88 - 80 = 8
95 - 88 = 7
100 - 95 = 5
101 - 100 = 1
It appears that the differences between consecutive numbers are increasing by 4, 8, 7, 5, and 1. The next difference can be expected to be 4 - 8 - 7 - 5 - 1 = -17.
Now, let's apply this difference to the last number in the sequence:
101 - 17 = 84
So, the next number in the sequence is 84.