Solve the problem.How many line segments are determined by joining the dots on the last two circles?
3 segments6 segments
segments
segmentsUse inductive reasoning to find a formula for the number of line segments determined by joining n dots on a circle.
A. 5 dots: 9 segments
7 dots: 15 segments
n dots : 3n - 6 segments
B. 5 dots: 13 segments
7 dots: 33 segments
n dots : (n - 1)2 - 3 segments
C. 5 dots: 10 segments
7 dots: 21 segments
n dots : n(n - 1)/2 segments
D. 5 dots: 12 segments
7 dots: 24 segments
n dots : 6(n - 3) segments
Answer: C
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