Question

Find the missing number in the series: (24, 28, 30, 34, …)

• A. 40
• B. 38
• C. 35
• D. 36

Hint:

When a simple sequence isn’t arithmetic/geometric, check if the differences follow a repeating cycle (e.g., \(+4,+2\) alternating).

Answer 1

The Correct Option is D

Step 1: Look at successive differences.
\(28-24=4,\ 30-28=2,\ 34-30=4\).
Differences alternate: \(+4,\ +2,\ +4,\ \underline{+2}\,\ldots\)
Step 2: Apply the pattern to the next term.
\(34 + 2 = 36\). \[ \boxed{36} \]