To find the 24th term of the sequence 3, 8, 13, 18, we first need to identify the pattern in the sequence. The difference between consecutive terms is consistent:
- 8 – 3 = 5
- 13 – 8 = 5
- 18 – 13 = 5
Each term increases by 5. This indicates that the sequence is an arithmetic sequence where:
- First term (a) = 3
- Common difference (d) = 5
The formula for the n-th term of an arithmetic sequence is:
Term(n) = a + (n – 1) * d
Substituting our values into the formula to find the 24th term:
Term(24) = 3 + (24 – 1) * 5
Calculating this gives:
Term(24) = 3 + 23 * 5
Term(24) = 3 + 115
Term(24) = 118
The 24th term of the sequence is 118.