Question
Download Solution PDFनिम्न गुणोत्तर श्रेढ़ी का योगफल ज्ञात कीजिए।
11/5, 11/25, 11/125, 11/625 , ... n पदों तक
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
11/5, 11/25, 11/125, 11/625 , ... n पदों तक
प्रयुक्त सूत्र:
योगफल = a (1 - rn) / (1 - r )
जहाँ a = पहला पद और r = सार्व अनुपात
गणना:
सार्व अनुपात (r) = (11/25) ÷ (11/5)
⇒ (1/5)
उपरोक्त सूत्र में r का मान रखने पर हमें प्राप्त होता है:
योगफल = \(\frac{11}{5}\)(1 - \(\frac{1}{5}\)n) / 1 - \(\frac{1}{5}\)
⇒ \(\frac{11}{5}\)(1- (\(\frac{1}{5}\))n) / \(\frac{4}{5}\)
⇒ \(\frac{11}{4}\)(1 - (\(\frac{1}{5}\))n)
अतः सही उत्तर "\(\frac{11}{4}\)(1 - (\(\frac{1}{5}\))n)" है।
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