Question

4, 9, 16, 25, ?, 49 — Find the missing number.

• A. 30
• B. 36
• C. 40
• D. 45

Hint:

Look for patterns such as perfect squares or cubes in sequences to identify missing terms.

Answer 1

The Correct Option is B

Step 1: Observe the given numbers: \(4, 9, 16, 25, ?, 49\).
Step 2: Recognize the pattern as perfect squares:
\[ 4 = 2^2, \quad 9 = 3^2, \quad 16 = 4^2, \quad 25 = 5^2, \quad ? = 6^2, \quad 49 = 7^2 \] Step 3: Calculate the missing term:
\[ 6^2 = 36 \] Therefore, the missing number is 36.