If A = x : x = 6 n - 5 n - 1 , n ∈ N and B = x : x = 25 ( n - 1 ) , n ∈ N , then

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Question: Answered & Verified by Expert

If

A = \{x : x = 6^{n} - 5 n - 1, n \in N\}

and

B = \{x : x = 25 (n - 1), n \in N\}

, then

MathematicsSets and RelationsJEE Main

Options:

A $A = B$
B $B \subset A$
C $A \subseteq B$
D $B \subseteq A$

Solution:

2080 Upvotes Verified Answer

The correct answer is:

A \subseteq B

A = {0, 25, 200, ......}

B = {0, 25, 50, 75 ......}

Clearly,

A \subseteq B

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