Fibonacci Sequence Identification

The sequence provided is 0, 1, 1, 2, 3, 5, 8, 13. This is a well-known mathematical sequence.

Observe the relationship between consecutive numbers:

• $0 + 1 = 1$
• $1 + 1 = 2$
• $1 + 2 = 3$
• $2 + 3 = 5$
• $3 + 5 = 8$
• $5 + 8 = 13$

Each number, starting from the third one, is the sum of the two preceding numbers. This is the definition of the Fibonacci sequence.

Calculating the Next Numbers

To find the next number in the sequence, add the last two numbers:

Last two numbers are 8 and 13.

Step 1: Calculate the first missing number.

The first missing number is the sum of the 7th and 8th terms (13 and 8):

$13 + 8 = 21$

Step 2: Calculate the second missing number.

The second missing number is the sum of the 8th term (13) and the newly calculated term (21):

$21 + 13 = 34$

Therefore, the next two numbers in the sequence are 21 and 34.

Sequence Conclusion

The sequence continues as: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34.