Question

Write the next 2 terms of the Fibonacci sequence starting with 2, 6, ....

Answer 1

8, 14

Explanation:

In a general Fibonacci sequence, any number in the sequence after the first two is the sum of the previous two. Here, we get the 3rd term by adding 2 and 6 to get 8, making our sequence

2, 6, 8

To get the fourth, we repeat the process, adding 6 and 8 to get 14:

2, 6, 8, 14

Answer 2

8, 14

Explanation:

Any term in a Fibonacci sequence is found as

`a_(n)` =
`a_(n-2)` +
`a_(n-1)`

Thus

a₃ = a₁ + a₂ = 2 + 6 = 8

a₄ = a₂ + a₃ = 6 + 8 = 14

The next 2 terms are 8, 14