Answer: 603 dots
Step-by-step explanation:
Triangle always has 3 sides. Given that
Each new triangle shown below has one more dot per side than the previous triangle. That means if first term has 6 dot, the second term will have 9 dots and third has 12 dots.
The difference between first and the second is the same with the difference between third and the second. That is,
First term a = 6
Difference d = 3
Number of term n = 200
This is arithmetic progression. We can come up with a formula:
Tn = a + ( n - 1 )d
Substitute all the parameters into the formula
Tn = 6 + ( 200 - 1 )×3
Tn = 6 + 199×3
Tn = 6 + 597
Tn = 603 dots
Therefore, the total number of dots on the 200th triangle of this sequence is 603 dots.