Write the following set in the set builder form:
$H = {3, 9, 27, 81, 243}$

H = {a | a = 3^{n - 1}, n \in N, n < 5}

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H = {a | a = 3^{n}, n \in N, n \leq 5}

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Data insufficient

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None of these

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Solution

The correct option is B $H = {a | a = 3^{n}, n \in N, n \leq 5}$
Given, $H = {3, 9, 27, 81, 243}$
$= {3^{1}, 3^{2}, 3^{3}, 3^{4}, 3^{5}}$
$= {a | a = 3^{n}, n \in N, 1 \leq n \leq 5}$

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