Asked by Heather
Let d(n) represent the number of diagonals of a polygon of n sides. Here is a table of values of d(n).
n 3 4 5 6 7 8 9 10 11
d(n)0 2 5 9 14 20 27 35 44
Find a polynomial formula for d(n) in terms of n
n 3 4 5 6 7 8 9 10 11
d(n)0 2 5 9 14 20 27 35 44
Find a polynomial formula for d(n) in terms of n
Answers
Answered by
Steve
check the differences:
1st: 2 3 4 5 6 ...
2nd: 1 1 1 1 1
So, it will be a quadratic
d = an^2+bn+c
Plug in three points to find a,b,c
1st: 2 3 4 5 6 ...
2nd: 1 1 1 1 1
So, it will be a quadratic
d = an^2+bn+c
Plug in three points to find a,b,c
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