Question: Find the common difference of the arithmetic sequence: $$-16, -11, -6, …$$ Answer

Find the common difference of the arithmetic sequence:

$$-16, -11, -6, …$$

Answer

Solution

To find the common difference of the arithmetic sequence, we subtract the first term from the second term. The sequence is \(-16, -11, -6, \ldots\) First, calculate the difference between the second term and the first term: \[ -11 - (-16) \] Simplify the expression: \[ -11 + 16 = 5 \] Now, let’s confirm by finding the difference between the third term and the second term: \[ -6 - (-11) \] Simplify this expression: \[ -6 + 11 = 5 \] The common difference is \(5\).