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.

Without any equipment, you can see stars that are 2{,}800{,}0002,800,0002, comma, 800, comma, 000 light-years away. by looking through a small telescope, you can see stars that are 3{,}112{,}000{,}0003,112,000,0003, comma, 112, comma, 000, comma, 000 light-years away. approximately how many times as far can you see using a small telescope as without any equipment?