Here is a function that describes a sequence called the Lucas numbers, which is similar to the Fibonacci sequence:

f(n) = f(n – 1) + f(n – 2); f(1) = 2; f(2) = 1.

Describe in words the relationship between the terms created by this algebraic rule.
List the first six terms of the sequence.
Find the 12th term.

You and a friend race across a field to a fence and back. your friend has a 50-meter head start. the equations shown represent you and your friend's distances dd (in meters) from the fence tt seconds after the race begins. find the time at which you catch up to your friend. you: d=∣−5t+100∣d=∣−5t+100∣ your friend: d=∣−313t+50∣∣

Kendra had twice as much money as kareem. kendra later spent $8 and kareem earned $6. by then,the two had the same amount of money. how much money did each have originally?

If f(x)=x+7 and g(x)=1/x what is (fog)(x)