[1] Let T

In class we were trying to find a formula for T

n 1 2 3 4 5 6 7 8 9 FWe noticed in class that T_{n}1 1 2 3 5 8 13 21 34 T_{n}1 2 6 15 40 104 etc T_{n}1 1*2 2*3 3*5 5*8 8*13 etc

(a) Write down a formula for T

(b) Check your formula for at least two larger values of n to see if it works.