Question

In the first term in an arithmetic sequence is 4 and the second term is (-6), which of the following is the third term? (1 point)
Responses

-10
-10

4
4

-16
-16

10
10

Answer 1

In an arithmetic sequence, the difference between consecutive terms is constant.

To find the common difference \( d \), we can subtract the first term from the second term:

\[
d = \text{second term} - \text{first term} = -6 - 4 = -10
\]

Now, to find the third term, we add the common difference \( d \) to the second term:

\[
\text{third term} = \text{second term} + d = -6 + (-10) = -6 - 10 = -16
\]

Therefore, the third term in the arithmetic sequence is \(-16\).

The correct response is \(-16\).