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Which of the following sequences has an nth term that represents an arithmetic progression?निम्नलिखित में से किस अनुक्रम का nवाँ पद एक समान्तर श्रेणी को दर्शाता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(a_n=5n-3\)\(a_n=5n-3\)
For \(a_n=5n-3\), \(a_{n+1}-a_n=5\), which is constant for every \(n\); hence it is an AP. For \(n^2+1\), the difference is \(2n+1\), which changes. Exam tip: test consecutive-term differences.\(a_n=5n-3\) के लिए \(a_{n+1}-a_n=5\), जो प्रत्येक \(n\) के लिए नियत है; अतः यह AP है। \(n^2+1\) में अंतर \(2n+1\) बदलता है। परीक्षा में लगातार दो पदों का अंतर जाँचें।
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