One criterion that we can use to analyze patterns is to look at the difference between consecutive terms. With this, we will see that the missing number is 361.
For the first two we have:
11 - 10 = 1
for the second and third:
21 - 11 = 10
for the fourth and third:
32 - 21 = 11
for the fifth and fourth:
53 - 32 = 21
We already can see the pattern, the n-th term can be written as:
Aₙ = Aₙ₋₁ + Aₙ₋₂
This means that the missing number, the next one, will just be equal to the sum of the two previous ones.
Then the next number is:
N = 138 + 223 = 361
If you want to learn more, you can read:
https://brainly.com/question/23037339
