Math Problem Solver

$$3,4,7,11,18,29,...$$The next term in this fibonacci-like sequence is $a_{7}=47$.

The nth term in this sequence is given by the formula:

Recursive Formula: $$a_n=a_{n-1} + a_{n-2}, \text{where } a_{1}=3$$

$$\begin{matrix}3&&4&&7&&11&&18&&29\\[6pt]&+1&&+3&&+4&&+7&&+11\\[6pt]\end{matrix}$$

Recursive Formula

The formula for a fibonacci-like sequence where $a_{n-1}$ is the (n-1)^th term, $a_{n-2}$ is the (n-2)^th term, and $n>2$ is $$a_n=a_{n-1} + a_{n-2}$$

The n^th term rule is: $$a_n=a_{n-1} + a_{n-2}$$