Final answer:
Option A) 62 + 63 + 64 + 65 is the correct set of four consecutive integers that sum to 254.
Step-by-step explanation:
The question asks to find four consecutive integers that sum to 254. To solve this, we look for a set of four numbers where each number is one more than the previous number. We can try adding the four numbers in each given option to see which one equals 254.
A) 62 + 63 + 64 + 65 = 254
B) 63 + 64 + 65 + 66 = 258
C) 64 + 65 + 66 + 67 = 262
D) 65 + 66 + 67 + 68 = 266
When we execute the addition, we see that option A is the correct one because 62 + 63 + 64 + 65 equals to 254 exactly.
Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers. Consecutive meaning in Math represents an unbroken sequence or following continuously so that consecutive integers follow a sequence where each subsequent number is one more than the previous number. In a set of consecutive integers (or in numbers), the mean and median are equal. If x is an integer, then x + 1 and x + 2 are two consecutive integers.