What is the next number in the series: 1, 4, 9, 16, ...? (2023)

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Question: What is the next number in the series: 1, 4, 9, 16, ...? (2023)

Options:

Correct Answer: 25

Exam Year: 2023

Solution:

The series consists of perfect squares: 1^2, 2^2, 3^2, 4^2. The next number is 5^2 = 25.

What is the next number in the series: 1, 4, 9, 16, ...? (2023)

What is the next number in the series: 1, 4, 9, 16, ...? (2023)

Step 1: Look at the numbers in the series: 1, 4, 9, 16.
Step 2: Identify what each number represents: 1 is 1 squared (1^2), 4 is 2 squared (2^2), 9 is 3 squared (3^2), and 16 is 4 squared (4^2).
Step 3: Notice that the pattern is that each number is the square of a whole number: 1, 2, 3, 4.
Step 4: Determine the next whole number after 4, which is 5.
Step 5: Calculate the square of 5: 5 squared (5^2) equals 25.
Step 6: Conclude that the next number in the series is 25.

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