Calculate the distance a car can travel in 2 hours at 55mph
2 answers:
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The rows add up to
The sum of the numbers in row
The last problem can be solved with the binomial theorem, but I'll assume you don't take that for granted. You can prove this claim by induction. When
so the base case holds. Assume the claim holds for
Use this to show that it holds for
Notice that
So you can write the expansion for
and since
and so the claim holds for
Setting
which agrees with the result obtained for part (c).
Look where the line is touching on the y-axis and that will be your y-value. From there or somewhere on the line use rise over run (rise/run, do not divide). Count how many times it goes up and then count how many times it goes left or right. Make sure to look where the line is going, up or down slanted. If the line is going down, but slanted it will be a negative slope; line going up and slanted is positive.
