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Which of the following sequences is an arithmetic progression (AP)?निम्नलिखित में से कौन-सा अनुक्रम समानांतर श्रेणी (AP) है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(2, 5, 8, 11, \ldots\)\(2, 5, 8, 11, \ldots\)
In option A, the consecutive differences are \(5-2=3\), \(8-5=3\), and \(11-8=3\). Since the common difference is constant, it is an AP. In option D, the differences are \(-2,-3,-4\), so it is not an AP. Exam tip: compare consecutive differences.विकल्प A में लगातार पदों के अंतर \(5-2=3\), \(8-5=3\) और \(11-8=3\) हैं। अतः इसका सार्व अंतर स्थिर है, इसलिए यह AP है। विकल्प D में अंतर \(-2,-3,-4\) हैं। परीक्षा टिप: लगातार अंतरों की जाँच करें।
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