Final answer:
To find the next number in the sequence 13, 35, 57, 79, we note that each number increases by 22. Adding 22 to the last number, 79, we get 101 as the next number.
Step-by-step explanation:
The number that comes next in the sequence 13, 35, 57, 79 is determined by analyzing the pattern of the sequence. Observing the given numbers, we note that each number is 22 more than the previous one. Starting with 13, if we add 22 to 13 we get 35. Adding 22 to 35, we get 57, and adding 22 to 57 gives us 79. Following this pattern, adding 22 to 79 will give us the next number in the sequence.
Therefore, 79 + 22 = 101. So the next number in the sequence is 101.