Respuesta :
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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