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What is the 300th term of the sequence 57, 66, 75, 84, 93?

1 Answer

4 votes

Answer:

a(300) = 2748

Explanation:

Each new term is the sum of the preceding term and 9, so that the general term of this arithmetic sequence is

a(n) = a(1) + 9(n - 1).

With n = 300, the 300th term is

a(300) = 57 + 9(300 - 1), or

a(300) = 57 + 2691, or

a(300) = 2748

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