Question

Fill in the blanks and explain the pattern

0,1,1,2,3,5,__,__,21,34,55

Answer 1

In the two blanks would be 8, 13.

The pattern is practically the Fibonacci Code.

Explanation:

The Fibonacci Code is a mathematical sequencing in which you start with two numbers and add them together to make the third number, then you add the third number and the second number together. Practically you keep adding each new sum and the number before it in the sequence to find the next new sum.

After 55 in this pattern, the pattern would go 89, 144, 233, 377, 610, 987,...

Answer 2

8,13

Explanation:

Look at the pattern :

0,1,1,2,3,5,...,...,21,34,55.

As you see the number in the pattern was made by the sum of 2 numbers behind it. Then, the blanks must be filled by :

1. 3 + 5 = 8
2. 8 + 5 = 13

So, the blanks must be filled by 8 and 13