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# What is the 32nd term of the arithmetic sequence where a1 13 and a13 -59?

Updated: 9/21/2023

Wiki User

12y ago

It is -173

Wiki User

12y ago

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Q: What is the 32nd term of the arithmetic sequence where a1 13 and a13 -59?
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### What is the 32nd term of the arithmetic sequence where a1 equals 15 and a13 equals -57?

Suppose the sequence is defined by an = a0 + n*d Then a1 = a0 + d = 15 and a13 = a0 + 13d = -57 Subtracting the first from the second: 12d = -72 so that d = -6 and then a0 - 6 = 15 gives a0 = 21 So a32 = 21 - 32*6 = -171

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