the numbers below are Fibonacci numbers.

1,1,2,3,5,8,13,21,34,55,...
write a rule for the pattern. what are the next three numbers?

F(1) = 1

F(2) = 1
F(n) = F(n-1) + F(n-2), n > 2, n is an element of N (natural numbers)

so next two numbers .... 89, 144 , 233

the rule??????????????????

plus I'm in 4th grade

ok, in words ...

"to get the next number, add up the two previous ones"

e.g. 5+8 = 13
21+34 = 55
etc.

BTW, to type " the rule ??????????? " is not the most polite way for a 4th grade to ask for help.

The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones. Using this rule, we can see that the pattern starts with two initial numbers, 1 and 1. To find the next number, we add the two preceding numbers (1 + 1 = 2). Then, we continue this pattern by repeatedly adding the last two numbers to find the next number in the sequence.

So, the rule for the Fibonacci sequence is:
F(n) = F(n-1) + F(n-2)

Using this rule, we can find the next three numbers:
F(11) = F(10) + F(9) = 34 + 21 = 55
F(12) = F(11) + F(10) = 55 + 34 = 89
F(13) = F(12) + F(11) = 89 + 55 = 144

Therefore, the next three numbers in the Fibonacci sequence are 55, 89, and 144.