Mental Math: The next term of a sequence 5, 6, 7, 9, 12, 17 ... is _______.
Sequences are a set of numbers in order. There are many different types of sequences. Sometimes a constant is added to find the next number in a sequence; sometimes each number is squared to determine the next number in a sequence, and so on.
The next term in the sequence above
is a bit more complicated.
It is a type of Fibonacci sequence and follows the formula
a_n= 1/2( F_n + L_n +8)
where F_n is the nth Fibonacci number and L_n is the nth Lucas number.
Therefore the next term in the sequence would be 25.