Question

the first three terms of an arithmetic sequence are as follows.
-11, -6, -1
find the next two terms of this sequence.
-11, -6, -1, \square, \square

Explanation:

Step1: Find the common difference

In an arithmetic sequence, the common difference \( d \) is found by subtracting consecutive terms. So, \( d=-6 - (-11)=-6 + 11 = 5 \).

Step2: Find the fourth term

To find the fourth term, add the common difference to the third term. The third term is \(-1\), so the fourth term is \(-1+5 = 4\).

Step3: Find the fifth term

Add the common difference to the fourth term. The fourth term is \(4\), so the fifth term is \(4 + 5=9\).

Answer:

\(4\), \(9\)