Sequence and Pattern Problem of Marbles

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  1. Ellie is dropping marbles into a box one at a time in the following order: red, white, white, blue, blue, blue: red, white, white, blue, blue, blue: ... How many marbles will be in the box right after the 100th blue one is put in?

so i've noticed that every in one sequence there will be 3 blue, 2 white, and one red. given that.

I'm stuck on how to get 202 as the answer. What's the next step to solve this problem?

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Hint. Ellie will have to put three blue marbles in the box, $33$ times. How many marbles are now in the box?

But then she has to put one more blue in. She can't do this immediately as she has to put certain numbers of red and white marbles in first. So. . . ?