The given rule means that after the first term of the sequence, every term f(n) is the sum of the previous terms f(n-1) and f(n-2).
f(2) = 5, f(5) = 23, f(10) = 254
Practice makes perfect
We are asked to write the 2nd, 5th and 10th term of a sequence, given a recursive rule and the first two terms.
\begin{aligned}
f(1)&=4 \\
f(2)&=5 \\
f(n)&=f(n-1)+f(n-2), \text{ for } n>2
\end{aligned}
Let's use a table.
