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Write the following sets in tabular form...

Write the following sets in tabular form and also in descriptive form :
{x:x is a square of a natural number}

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The correct Answer is:
To solve the question, we need to express the set of squares of natural numbers in both tabular and descriptive forms. Let's break it down step by step. ### Step 1: Identify Natural Numbers Natural numbers are the positive integers starting from 1. The first few natural numbers are: 1, 2, 3, 4, 5, ... ### Step 2: Calculate the Squares of Natural Numbers Next, we need to find the squares of these natural numbers: - The square of 1 is \(1^2 = 1\) - The square of 2 is \(2^2 = 4\) - The square of 3 is \(3^2 = 9\) - The square of 4 is \(4^2 = 16\) - The square of 5 is \(5^2 = 25\) Continuing this process, we can see that the squares will keep increasing as we take higher natural numbers. ### Step 3: Write the Set in Tabular Form Now, we can write the set of squares in tabular form. We will denote this set as \(A\): \[ A = \{1, 4, 9, 16, 25, \ldots\} \] ### Step 4: Write the Set in Descriptive Form In descriptive form, we can express the set as: - \(A\) is the set of squares of natural numbers. ### Final Answer Thus, the final answer is: - **Tabular Form:** \(A = \{1, 4, 9, 16, 25, \ldots\}\) - **Descriptive Form:** \(A\) is the set of squares of natural numbers.
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