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What is the 45th term of the arithmetic sequence -33, -25, -17,-9....?

1 Answer

2 votes

Answer:

319

Explanation:

You want to know the 45th term of the arithmetic sequence that begins -33, -25, -17, ...

Arithmetic sequence

The general term of an arithmetic sequence with first term a1 and common difference d is ...

an = a1 +d(n -1)

Application

For a1 = -33 and d = (-25 -(-33)) = 8, the n-th term is ...

an = -33 +8(n -1)

Then the 45th term is ...

a45 = -33 +8(45 -1) = -33 +352 = 319

The 45th term of the sequence is 319.

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