Each new triangle shown below has one more dot per side than the previous triangle. What is the total number of dots on the 200th triangle of this sequence? first term has 6 second term has 9 third has 12 PLS HELP WILL MARK BRAINLIEST

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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.

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