Question

Use the explicit formula an= a₁ + (n-1) d to find the 500th term of the

Answer 1

Therefore, the 500th term of the sequence exists 3517.

How to estimate the 500th term of the sequence?

The given sequence is 24, 31, 38, 45, 52, ...

It exists an Arithmetic progression.

Here, the First term = 24

Common difference = 31 - 24 = 7

The given explicit formula for the nth term exists

an = a₁ + (n - 1)d

Where a₁ exists the first term, d exists a common difference.

Substitute a₁ = 24, d = 7 and n = 500

a(500) = 24 + (500 - 1)7

 = 24 + (499)7

 = 24 + 3493

a(500) = 3517

Therefore, the 500th term of the sequence exists 3517.

To learn more about Arithmetic progression refer to:

brainly.com/question/16982185

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