Final answer:
To find the 24th term in the given sequence, use the formula for the nth term of an arithmetic sequence.
Step-by-step explanation:
To find the 24th term in the given sequence, we need to determine the pattern and apply it to find the desired term. Looking at the sequence, we can see that each term increases by 7. So, the common difference is 7.
Now, we can use the formula for the nth term of an arithmetic sequence to find the 24th term:
an = a1 + (n - 1) * d
Given a1 = -21 and d = 7, substituting these values into the formula:
a24 = -21 + (24 - 1) * 7
a24 = -21 + 23 * 7
a24 = -21 + 161
a24 = 140
Therefore, the 24th term in the sequence is 14