Write a recursive formula for a sequence whose first three terms are 1, 1 and 3.

Question

anonymous · Answer

only how to solve them

anonymous · Answer

what do you mean, how to solve them? This problem is just asking you to make up a recursive formula that fits those three numbers right?

anonymous · Answer

I was talkin to notebook sorry the question is as stands

anonymous · Answer

so its wants maybe something in the form of:
$$F_{n+2}=aF_{n+1}+bF_{n}$$
where a and b are integers, and it fits those three numbers.

anonymous · Answer

With your sequece (1, 1, 3), we have that:
$$F_{n+2} = 3, F_{n+1} = 1, F_n = 1$$
plugging this into the equation:
$$3 = a(1)+b(1) \Rightarrow 3 = a + b$$
So just pick numbers for a and b that sum up to three, and your good.