What is the next number in the pattern: 1, 1, 2, 3, 5, ...?

The sequence presented is known as the Fibonacci sequence, a well-known series in mathematics where each number is the sum of the two preceding ones, starting from 0 and 1 (or in this case, starting from 1 and 1).

In this sequence:

• The first two numbers are both 1.

• The third number is calculated by adding the first two: 1 + 1 = 2.

• The fourth number is calculated by adding the second and third numbers: 1 + 2 = 3.

• The fifth number is calculated by adding the third and fourth numbers: 2 + 3 = 5.

Following this pattern, the next number in the sequence is determined by adding the fourth and fifth numbers: 3 + 5 = 8. Therefore, the next number in the pattern is 8, which corresponds to the answer provided. Recognizing the Fibonacci pattern helps in understanding how to derive subsequent numbers based on previous values, a concept that is frequently implemented in various mathematical and real-world applications.