Chapter 1: Sets
Chapter 1: Sets
Exercise
Question
Question: 4 (v)
26 / 33
26 / 33
Write the following sets in the set-builder form:
(v) {1, 4, 9,..., 100}
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Answer
1
Identify the pattern in the given set. Then express the pattern using a suitable condition on the variable n.
The given set represents the perfect squares{math_tip:def_perfect_square} from $1^2$ to $10^2$
Therefore, each element can be written as x = $n^2$, where 1 $≤$ n $≤$ 10
2
Write the set in set-builder form using the condition on the number n.
Answer: {x : x = $n^2$, n $∈$ N, 1 $≤$ n $≤$ 10}