find the missing numbers if each number after the first two is the sum of the two preceding numbers?

Question

_,8,_,_,_,56.5

Answer 1

Answer: 5.5, 8, 13.5, 21.5, 35,56.5

Explanation: The first thing you need to do is figure out the number that goes in the first blank. Since this is your unknown, we'll call it x . Keeping in mind that each number after the 8 has to be the sum of the two preceding numbers, we can now write each number in terms of x, as follows:

x, 8, x+8, x+16, 2x+24, 3x+40

Since you know that the last number is 56.5, you can solve for x as follows:

3x+40 = 56.5
3x = 16.5
x = 5.5

Now that you know x, you can figure out all the rest of the numbers by either plugging x into all the mini equations above (Ex. Since the 3rd number is x+8, and x is 5.5, the 3rd number is 13.5.) or by just adding up the each number's two preceding numbers.

Answer 2

I would like to help you with this but, I think there are some numbers missing, sorry, I may be wrong.

Answer 3

5.5, 8, 13.5, 21.5, 35, 56.5