Chapter 1: Sets
Chapter 1: Sets
Exercise
Question
Question: 4 (ii)
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Write the following sets in the set-builder form:
(ii) {2, 4, 8, 16, 32}
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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 2, starting from $2^1$ up to $2^5$, where each term is obtained by doubling the previous one.
Therefore, each element can be written as x = $2^n$, where 1 $≤$ n $≤$ 5
2
Write the set in set-builder form using the condition on the number n.
Answer: {x : x = $2^n$, n $∈$ N, 1 $≤$ n $≤$ 5}