# trigonometry

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Find the number of cans stacked in a display if there are 30 rows of cans with six on the top row, ten on the second row, 14 on the third row and so on.

I know it's the sum of an arithmetic sequence, but I'm not sure exactly what to do.

• trigonometry -

The highest row has 6 cans
The lowest row (29 rows down from the top) has 6 + (29*4) = 122 cans
The average number in a row is (122+6)/2 = 64 cans.
The total number of cans is 30x64 = 192

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