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In Mathematics / Middle School | 2014-07-22

Use the explicit formula [tex]a_n = a_1 + (n-1)d[/tex] to find the 500th term of the sequence below.

24, 31, 38, 45, 52, ...

Asked by Leischner102

Answer (2)

a 500 ​ = a 1 ​ + 499 r a 500 ​ = 24 + 499 ∗ 7 a 500 ​ = 24 + 3493 a 500 ​ = 3517

Answered by Ryan2 | 2024-06-10

The 500th term of the sequence is 3517, calculated using the explicit formula for an arithmetic sequence. We identified the first term as 24 and the common difference as 7, then applied the formula. By substituting 500 into the formula, we arrived at the final answer.
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Answered by Ryan2 | 2024-10-30

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