Find a recursive rule for the sequence 2, 4, 6, 10, …

Question

myininaya · Answer

hint:
2+4=?
4+6=?

myininaya · Answer

can you find those sums?

anonymous · Answer

the thing i dont understand is how the formula looks. im not very good at math. and ive never learned how to do recursive formulas.

myininaya · Answer

well can you find the sums mentioned above?

myininaya · Answer

2+4=?
4+6=?

myininaya · Answer

do you notice that you find a term by adding it's previous two terms for this sequence ?

myininaya · Answer

$$a_1,a_2,a_3,a_4,\cdots \ \text{ we seen the following if you found the sums I asked you to above } \ a_1+a_2=a_3 \ a_2+a_3=a_4$$

myininaya · Answer

$$\text{ so say we want to find } a_n \text{ and we know the previous two terms are } \ a_{n-1} \text{ and } a_{n-2}$$
$$\text{ could you write what } a_n \text{ would be }$$