Lucas' table is proportional
5510 = x + (x + 100) + (x + 200) + (x + 300) + (x + 400) + (x + 500) + (x + 600) + (x +700) + (x + 800) + (x + 900) = 10x + 4500
=> 10x = 5510 - 4500 = 1010
=> x = 1010 / 10 = 101
=> least prize = 101 and greatest prize = 101+ 900 = 1001.<----- answer
The only thing you can do with this expression is to factor a 5 out of the two terms: we have
<span>We are given f(1) = 0 and f(2) = 1.
Going forward, the term is the sum of the two previous terms.
f(3) = f(2) + f(1) = 0 + 1 = 1.
f(4) = f(3) + f(2) = 1 + 1 = 2
f(5) = f(4) + f(3) = 2 + 1 = 3
This matches answer B.</span>
