Final answer:
To find the 15th term of the arithmetic sequence with a first term of 7 and a common difference of 3, we apply the formula a15 = 7 + (15 - 1) × 3 to obtain the 15th term which is 49.
Step-by-step explanation:
To find the 15th term of an arithmetic sequence where the first term (a1) is 7, and the common difference (d) is 3, we use the formula for the nth term of an arithmetic sequence:
an = a1 + (n - 1)d
Substituting the given values into this formula for the 15th term (n=15):
a15 = 7 + (15 - 1)×3
a15 = 7 + 14×3
a15 = 7 + 42
a15 = 49
Therefore, the 15th term of the sequence is 49.