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A carpenter wishes to make, a ladder with 18 cross-pieces. The cross pieces are to diminish uniformly in lengths from 65cm at the bottom to 31cm at the top. Calculate the length in cm, of the eighth cross-piece from the bottom.

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31 = 65 + 17d ⇒ 17d = -34
d = -2
T8 = 65 + 7(-2)
= 65 – 14
= 51

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