Answer:
139, 156, and 178
Step-by-step explanation:
To find the next three terms in the sequence 3, 11, 31, 68, 127, we can look for patterns in the differences between consecutive terms.
3 to 11: 8
11 to 31: 20
31 to 68: 37
68 to 127: 59
Looking at the differences, we see that they are increasing by 12, 17, and 22 respectively. Thus, to continue the pattern:
127 + 12 = 139
139 + 17 = 156
156 + 22 = 178
Therefore, the next three terms in the sequence are 139, 156, and 178.
