00:01
Okay, so it says that you need help with the following problem.
00:05
In the sequence of matchsticks figures, shown, assume that the discovered pattern continues, and let t of n be the function giving the total number of matchsticks in the nth figure.
00:19
Find the total number of match sticks in the fourth figure.
00:23
Find a formula for t of n in terms of n.
00:27
So for one, i'm just going to set up a table.
00:31
Table here and then we have two and then we have three okay so in one there's one two three four five six in two there's one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen seventeen eighteen and then for the next one there is one 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27, 28, 28, 29, 30, 301, 32, 33, 34.
01:27
Okay, so there's 34 in that one.
01:31
So i need to see what the pattern here is.
01:34
So 18 minus 6 is 12...