Question

find the next three terms in the sequence: 60, 54, 48, 42, ...
36, 28, 20
36, 30, 24
38, 32, 26
36, 30, 18

Explanation:

Step1: Identify the pattern

The sequence is 60, 54, 48, 42,... Let's find the common difference.
$54 - 60 = -6$, $48 - 54 = -6$, $42 - 48 = -6$. So the common difference $d = -6$.

Step2: Find the next term after 42

To find the next term, we add the common difference to the last term.
Next term = $42 + (-6) = 36$.

Step3: Find the term after 36

Again, add the common difference: $36 + (-6) = 30$.

Step4: Find the term after 30

Add the common difference: $30 + (-6) = 24$.

Answer:

B. 36, 30, 24