Answer :
The missing number in the pattern is 514.
- Let's analyze the differences between consecutive terms:
10 - 3 = 7
29 - 10 = 19
66 - 29 = 37
127 - 66 = 61
218 - 127 = 91
345 - 218 = 127
- Now, let's observe the second differences (differences of differences):
19 - 7 = 12
37 - 19 = 18
61 - 37 = 24
91 - 61 = 30
127 - 91 = 36
- Continuing this logic, we can predict the next difference in the sequence:
127 + 42 = 169
- Adding this difference to the last term in the sequence:
345 + 169 = 514
