Generator of a group || Cyclic group || Uttarakhand ASO || gate mathematics

Generator of a group || Cyclic group || Uttarakhand ASO || gate mathematics
Let G be a group. If there exists an element aꜪ G such that every element id expressible as b=an for some integer n, then G is a cyclic group, and the element a is called a generator of the cyclic group G.
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Y don't we select a3 and a5