What is the 24th term of the sequence 3, 8, 13, 18?

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To find the 24th term of the sequence 3, 8, 13, 18, we first need to identify the pattern or rule that generates this sequence.

We can observe that the difference between consecutive terms is consistent. Let’s break it down:

  • 8 – 3 = 5
  • 13 – 8 = 5
  • 18 – 13 = 5

From this, we can see that each term is obtained by adding 5 to the previous term. This indicates that the sequence is an arithmetic sequence with the first term (a1) as 3 and a common difference (d) of 5.

The general formula for the nth term of an arithmetic sequence is given by:

an = a1 + (n – 1) * d

Now let’s plug in the values:

  • a1 = 3
  • d = 5
  • n = 24

Substituting these values into the formula, we get:

a24 = 3 + (24 – 1) * 5

Calculating this step-by-step:

  • (24 – 1) = 23
  • 23 * 5 = 115
  • 3 + 115 = 118

Therefore, the 24th term of the sequence is 118.

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