Question
Download Solution PDFk हा कोणाच्या मूल्यासाठी; 2, 3 + k आणि 6 A.P मध्ये आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
येथे a 1 = 2,a 2 = k + 3, a 3 = 6 हे A.P चे सलग तीन पद आहेत.
संकल्पना:
अंकगणित प्रगतीनुसार, a2 - a1 = a 3 - a 2
जेथे a1, a2, a3 कोणत्याही A.P चे पहिले, दुसरे आणि तिसरे पद आहेत.
गणना:
a1 = 2, a2 = k + 3, a3 = 6 हे A.P चे सलग तीन पद आहेत.
अंकगणित प्रगतीनुसार, a2 - a1 = a 3 - a 2
(k + 3) – 2 = 6 – (k + 3)
⇒ k + 3 - 8 + k + 3 = 0
⇒ 2k = 2
निराकरणानंतर, आपल्याला k = 1
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