371. The sequence is: 2 / 4 → 4 / 16 → 16 / 256 → ?
- A. 256 / 65536
- B. 255/ ?
- C. 512/ 512
- D. 256/ ?
Check answer and explanation
Answer: 256 / 65536
Explanation Step 1: Look at the numerators 2 → 4 → 16 → ? Notice: 2^ 1 = 2 , 2^ 2 = 4 , 4^ 2 = 16 So the pattern seems to be: previous numerator squared . Next numerator = 1 6^ 2 = 256 Step 2: Look at the denominators 4 rightarrow 16 rightarrow 256 rightarrow ? 4 → 16 → 256 → ? Notice: 4 = 2^ 2 , 16 = 4^ 2 , 256 = 1 6^ 2 So the denominator follows the same squaring pattern : Next denominator = 256^2 = 65536 25 6^ 2 = 65536 Step 3: Complete the sequence 2/4 rightarrow 4/16 rightarrow 16/256 rightarrow 256 / 65536 2/4 → 4/16 → 16/256 → 256/65536 Last updated 11-02-2026