Asked by Alisha

A gardener is making a planting in the shape of a trapezoid. It will have 41 plants in the front​ row, 37 in the second​ row, 33 in the third​ row, and so on. If the pattern is​ consistent, how many plants will there be in the last​ row? How many plants are there​ altogether?

Thank you!

Answers

Answered by Steve
The nth row,

Rn = 41-4(n-1) = 45-4n
So, there are 11 rows, since 45-48 < 0

You have an AP with
a = 41
d = -4
S11 = 11/2 (2*41 + 10(-4)) = 231
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