Question

a4 = 9+2(n-1)
What is the common difference?
What is the initial term?
What term is the formula finding?
What value should replace n?

A. 2
B. 9
C. 4
D. 6

choose one answer for each question

you are trying to find the fourth term

Answer 1

if you mean
An = 9 + 2 (n-1)
the common difference is 2
the initial term (when n = 1) is 9
It is finding the n th term, if n = 4 then A4 = 9 + 2 (3) = 9 + 6 =15
We just used n = 4

Answer 2

The formula for the nth term of an arithmetic sequence is given by a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the initial term, and d is the common difference.

In this case, the formula is a_4 = 9 + 2(n-1). Comparing this with the formula, we can see that the common difference is 2.

The initial term is not explicitly stated in the given information. It is typically denoted as a_1, which represents the first term of the sequence. We would need additional information or context in order to determine the initial term in this case.

The formula a_4 = 9 + 2(n-1) represents finding the fourth term of the arithmetic sequence.

To find the fourth term, we need to replace n with 4 in the formula: a_4 = 9 + 2(4-1) = 9 + 2(3) = 9 + 6 = 15.

Therefore, the value that should replace n is 4. The answer is D. 6 (as in the fourth term of the sequence).

Answer 3

Apologies for the confusion in my previous response. You are correct.

In the given arithmetic sequence with the formula An = 9 + 2 (n-1), the common difference is 2.

The initial term (when n = 1) is 9.

The formula An = 9 + 2 (n-1) is used to find the nth term of the sequence.

To find the fourth term (when n = 4), we substitute n = 4 into the formula: A4 = 9 + 2 (4-1) = 9 + 2 (3) = 9 + 6 = 15.

Therefore, the value that should replace n is 4.