Question

2) Tara is trying to find the nth term of the arithmetic sequence 5,8,11, and 14…. Which expression can Tara use to find the nth term? What is the 15th term of the sequence?

Answer 1

Tara can use the equation a_n = a_1 + (n-1)d to find the nth term. The 15th term of the sequence is 47.

Step-by-step explanation:

To find the nth term of an arithmetic sequence, Tara can use the formula:
an = a1 + (n-1)d

In this case, the first term (a1) is 5 and the common difference (d) is 3. So the expression Tara can use is:
an = 5 + (n-1)3

To find the 15th term of the sequence, substitute n = 15 in the expression:
a15 = 5 + (15-1)3
a15 = 5 + 14 * 3
a15 = 5 + 42
a15 = 47

Answer 2

Below in bold.

Step-by-step explanation:

Nth term an = a1 + d(n - 1) where a1 = term 1 and d = common difference.

Here a1 = 5 and d = 8-5 = 3.

So an = 5 + 3(n - 1)

15th term a15

= 5 + 3(15 - 1)

= 5 + 42

= 47.