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Choose the number (X) that should come next in this series (1 4 9 16 X).

Sagot :

Answer:25

Step-by-step explanation:subtract 4-1 u get 3 subtract 9-4 = 5

16-9=7 so you see the numbers are getting added by odd numbers so 16+9 =25

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As per the square of a number, the value of 'x' in the given series is 25.

What is the square of a number?

The square of a number is defined as the product of a number multiplied by the same number.

Given series is:

[tex]1, 4, 9, 16, X[/tex]

Here, the first term is

[tex]1 = 1^{2}[/tex]

The second term is

[tex]4 = 2^{2}[/tex]

The third term is

[tex]9 = 3^{2}[/tex]

The fourth term is

[tex]16 = 4^{2}[/tex]

Therefore, it is clear that each term in the given series are the square of the integers starting from 1. Here, the n-th term is [tex]n^{2}[/tex].

Therefore, the fifth term is

[tex]5x^{2} = 25[/tex]

Learn more about the square of a number here: https://brainly.com/question/17146812

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