Question

Find the next number in the series 16, 20, 29, 45, 70, ?

• A. 106
• B. 116
• C. 96
• D. 126

Hint:

In number series questions, always check the differences or ratios and try to identify if they follow a known pattern like squares, cubes, or arithmetic progression.

Answer 1

The Correct Option is A

Analyze the given series: 16, 20, 29, 45, 70, ?
Step 1: Find the differences between consecutive terms:
20 - 16 = 4
29 - 20 = 9
45 - 29 = 16
70 - 45 = 25
Step 2: Observe the pattern in the differences:
4, 9, 16, 25 are perfect squares: \(2^2, 3^2, 4^2, 5^2\)
Step 3: Following this pattern, the next difference should be \(6^2 = 36\).
Step 4: Add 36 to the last term:
70 + 36 = 106
Therefore, the next number in the series is 106.
Hence, the correct answer is option (A) 106.