Question
Download Solution PDFदी गई गुणोत्तर श्रेढ़ी का योगफल ज्ञात कीजिए।
4/11, 4/121, 4/1331, 4/14641, ... n पदों तक
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
प्रथम पद (a) = 4/11
सार्व अनुपात (r) = (4/121) / (4/11) = 1/11
पदों की संख्या (n) = n
प्रयुक्त सूत्र:
गुणोत्तर श्रेढ़ी का योग (Sn) = a(1 - rn) / (1 - r)
गणना:
Sn = (4/11) (1 - (1/11)n) / (1 - 1/11)
⇒ Sn = (4/11) (1 - (1/11)n) / (10/11)
⇒ Sn = (4/11) × (11/10)(1 - (1/11)n)
⇒ Sn = (4/10)(1 - (1/11)n)
⇒ Sn = 2/5(1 - (1/11)n)
∴ सही उत्तर विकल्प (1) है।
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