The school is having a big event in the gym and wants to use their rectangular tables. 6 people can sit together at one rectangular table. If 2 tables are placed together, 10 people can sit together.

Question

So the pattern I noticed is 4 people added whenever a table is added, 1 table 6 people, 2 tables 10 people, 3 tables 14 people, 4 tables 18 people, 5 tables 22 people etc.

The question I have trouble on is this one "Write a mathematical rule that describes the number of people that would sit at n tables. (n stands for any number of tables.) explain how you came up with the rule.

I'm having trouble making a rule from this question, as I don't seem to find an equation to use. What I think is it'll deal with adding four people to each table, whenever a table is added.

Answer 1

6n - 2(n-1) = 4n+2

Answer 2

Thank You!