Question
Download Solution PDFk के किस मान के लिए 2, 3 + k और 6 समांतर श्रेढ़ी में हैं?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
k के मान के लिए 2, 3 + k और 6 समांतर श्रेढ़ी में हैं।
अवधारणा:
समांतर श्रेढ़ी के अनुसार, a2 - a1 = a3 - a2
जहाँ a1, a2, a3 समांतर श्रेणी में प्रथम, द्वितीय और तृतीय पद हैं।
गणना:
यहाँ a1 = 2, a2 = k + 3, a3 = 6 समांतर श्रेढ़ी की क्रमागत संख्याएँ हैं।
समांतर श्रेढ़ी के अनुसार, a2 - a1 = a3 - a2
(k + 3) – 2 = 6 – (k + 3)
⇒ k + 3 - 8 + k + 3 = 0
⇒ 2k = 2
हल करने पर, हमें प्राप्त होता है k = 1
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