Chapter 1: Sets
Chapter 1: Sets
Exercise
Question
Question: 4 (iii)
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Write the following sets in the set-builder form:
(iii) {5, 25, 125, 625}
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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 consists of powers of 5, starting from $5^1$ up to $5^4$, where each term is obtained by multiplying the previous one by 5.
Therefore, each element can be written as x = $5^n$, where 1 $≤$ n $≤$ 4
2
Write the set in set-builder form using the condition on the number n.
Answer: {x : x = $5^n$, n $∈$ N, 1 $≤$ n $≤$ 4}