Question

If the sequence 1, 6, 7, 13, 20, ... were to follow the same pattern as the Fibonacci sequence, what are the next three terms?

Answer 1

The Fibonacci sequence is generated by starting with the numbers 0 and 1 (or 1 and 1) and obtaining the next number by adding them together. All successive numbers are the sum of the previous two.

0 + 1 = 1

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

and so on.

For this sequence, we have

1 + 6 = 7

6 + 7 = 13

7 + 13 = 20

13 + 20 = 33

20 + 33 = 53

33 + 53 = 86