By definition, 0 and 1 are the first two numbers. Each subsequent number is the sum of the previous two numbers.
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89
12 12
You can peg that out by looking at the difference between the numbers given: 3, 5, 8, 13, 21, 34, 55, 89, 144 You may recognize those differences as being numbers in the Fibonacci sequence, where each number is the sum of the two preceding ones. The next number in that sequence then would be 89 + 144, or 233, which means that the next number in the given sequence will be 376 + 233, or 609.
It is 30; the first, third, and fifth numbers form the sequence 12, 18, 24. The second, fourth, and sixth numbers follow the sequence 11, 14, 17. Logically, the seventh number must be 24 + 6, so 30.
11, -10, 9
The number that completes the sequence would be 11. Imagine the sequence as two sequences of every other number starting with the first 2 and the first 6. You would have 2 3 6 and 6 8 12 2 3 6 is adding odd numbers starting with one. 6 8 12 is adding even numbers starting with two. The next number belongs to 2 3 6 so you would add 5 to get 11.
Answer 144 which is F(12) Reason 55 and 89 are the 10th and 11th Fibonacci numbers, If we add these we have 144 which is the 12 Fibonacci number and is a perfect square. I am using F(0) as the 0 Fibonacci number and F(1) as the first.
The Fibonacci sequence is a sequence of numbers where each number in the sequence is the sum of the two numbers right before it. for example: 11235812 <-------Fibonacci Sequence 1 1+1=2 1+2=3 2+3=5 3+5=8 5+8=12
The next three numbers are: 87, 141, 228. Each number in the sequence after the first two is the sum of the previous two numbers. This is a variation of the Fibonacci sequence which starts with 1, 1, ... (and then continues ..., 2, 3, 5, 8, 13, ...).
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. By definition, the Fibonacci sequence starts with 0 and 1 and then continues. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89. These are the first twelve.
12 12
You can peg that out by looking at the difference between the numbers given: 3, 5, 8, 13, 21, 34, 55, 89, 144 You may recognize those differences as being numbers in the Fibonacci sequence, where each number is the sum of the two preceding ones. The next number in that sequence then would be 89 + 144, or 233, which means that the next number in the given sequence will be 376 + 233, or 609.
12 - 5(n-1)
It is 30; the first, third, and fifth numbers form the sequence 12, 18, 24. The second, fourth, and sixth numbers follow the sequence 11, 14, 17. Logically, the seventh number must be 24 + 6, so 30.
This code shows first 30 Fibonacci numbers:#include#includeusing std::cin;using std::cout;long next_Fibonacci();int main(){cout
3 1.5
True
The first thing to notice is that all the numbers in the sequence are square numbers. 25=5x5 36=6x6 49=7x7 64=8x8 81=9x9 So the next three numbers to be squared are 10, 11 and 12. 10x10=100 11x11=121 12x12=144 Thus, the next three numbers in the sequence are 100, 121, 144 The equation for the sequence is (n+4)2