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Ravi says that the sequence 5, 9, 13, 18 is an arithmetic progression (AP). Which statement about his claim is correct?रवि कहता है कि श्रेणी 5, 9, 13, 18 एक समानांतर श्रेणी (AP) है। उसके दावे के बारे में कौन-सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: It is not an AP because the consecutive differences are 4, 4, and 5.यह AP नहीं है क्योंकि क्रमागत अंतर 4, 4 और 5 हैं।
In an AP, the difference between every pair of consecutive terms must be the same. Here, 9−5=4 and 13−9=4, but 18−13=5, so it is not an AP. Exam tip: check every consecutive difference, not just the first two.AP में प्रत्येक क्रमागत पदों का अंतर समान होना चाहिए। यहाँ 9−5=4, 13−9=4, लेकिन 18−13=5 है, इसलिए यह AP नहीं है। परीक्षा में सभी अंतर जाँचें, केवल पहले दो नहीं।
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