Write following sets in set-builder form : {rm{{ 5,25,125,625} }}

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1.Set Theory

easy

Write the following sets in the set-builder form :

${\rm{\{ 5,25,125,625\} }}$

Option A

Option B

Option C

Option D

Solution

$\{ 5,25,125,625\} $

It can be seen that $5=5^{1}, 25=5^{2}, 125=5^{3},$ and $625=5^{4}$

$\therefore \{ 5,25,125,625\} = \{ x:x = {5^n},n \in N{\rm{ }}$ and ${\rm{ }}1\, \le \,n\, \le \,4\} $

Standard 11

Mathematics

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