JEE Mains · Maths · STD 11 - 8. sequence and series
Let \(A=\{1,6,11,16, \ldots\}\) and \(B=\{9,16,23,30, \ldots\}\) be the sets consisting of the first 2025 terms of two arithmetic progressions. Then \(n(A \cup B)\) is
- A 3814
- B 4027
- C 3761
- D 4003
Answer & Solution
Correct Answer
(C) 3761
Step-by-step Solution
Detailed explanation
\begin{aligned} & A=\{1,6,11,16,21,26,31,36,41,46,51,56,61, \\ & 66,71,76,81,86,91, \ldots \ldots\} \\ & B=\{9,16,23,30,37,44,51,58,65,72,79,86, \\ & 93,100, \ldots \ldots\} \\ & A \cap B=\{16,51,86, \ldots \ldots\} \\ & \text { For set 'A' } \Rightarrow…
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