Question 54

Logical Reasoning Pattern Series and Sequences Easy

Find the value of \( 1,4,9,16 \)

(A) 25
(B) 18
(C) 20
(D) 19
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Pattern Analysis

The pattern in this series is that each number is the square of a consecutive integer, starting from 1.

  • 1st Term: 1 * 1 = 1² = 1
  • 2nd Term: 2 * 2 = 2² = 4
  • 3rd Term: 3 * 3 = 3² = 9
  • 4th Term: 4 * 4 = 4² = 16

Calculating the Next Term

Following this pattern, the next term in the sequence will be the square of the next integer, which is 5.

5 * 5 = 5² = 25

Final Answer: The next value in the series is 25.

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