Question

Using the formula an = a + (n – 1) d where 'a' is the first term and 'd' is the common difference, find the 15th term if the first term is 4 and the common difference is 3.

a. 40
b. 46
c. 52
d. 58

Answer 1

The 15th term of the arithmetic sequence is 46.

Step-by-step explanation:

The formula for finding the nth term of an arithmetic sequence is given by an = a + (n - 1)d, where 'a' is the first term and 'd' is the common difference. In this case, a = 4 and d = 3. To find the 15th term, substitute these values into the formula:

an = 4 + (15 - 1)3

an = 4 + 14 * 3

an = 4 + 42

an = 46