Subject: Finding the nth term
Name: Varun
Who are you: Student (Middle)

Directions:
1.draw a series of diagrams for each situation.
2.Make a chart to show the terms and values for each of your diagrams.
3.Find the differences between the values to determine whether the nth term of each sequence will be linear or quadratic.
4.Work through the rest of the problem to show how you arrived at the formula for the nth term.
5.Write the formula for the nth term.
6.Be sure to answer the question that is asked.
(note: these are the directions on the
worksheet just in case you need them)

Problem:
1.If you place 35 points on a piece of paper so that no three are collinear, how many line segments are necessary to connect each point to all the others?

2.What's the total number of diagonals in a 35 sided polygon?Find the pattern to discover the rule.

(Thank you very much!!!!)

Varun,

1. Try this with a circle. Start with a lower number such as 5 equally-spaced points on the circumference. If you draw a line between every pair of points, you have 4 lines going to each point, but each line has two ends (points), so 5 points times 4 lines divided by 2 ends per line is 10 lines in all. Try it with six (and more).
   
   
2. This is easiest if you solve part one and then look for what is NOT a diagonal (subtract the two and you get your answer).

Hope this helps,
Stephen La Rocque.