The Candles on the Cake

You are at a birthday party and the cake is brought in. The birthday candles on the cake are in a pattern: red, yellow, red, yellow, blue, red, yellow, blue, green. The pattern continues, adding pink, orange, purple and white candles.
How many candles are on the cake in all?

Answer

The Pattern:

red, yellow,
red, yellow, blue,
red, yellow, blue, green,
red, yellow, blue, green, pink,
red, yellow, blue, green, pink, orange,
red, yellow, blue, green, pink, orange, purple,
red, yellow, blue, green, pink, orange, purple,
white
Total Candles:
2 + 3 + 4 + 5 + 6 + 7 + 8 = 35

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