Question
Download Solution PDFनिम्न गुणोत्तर श्रेढ़ी (G.P.) का योगफल ज्ञात कीजिए।
4/5, 4/25, 4/125, 4/625, ... n पदों तक
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
श्रेढ़ी 4/5 , 4/25 , 4/125 , 4/625 ,... से n पद तक है।
प्रयुक्त सूत्र:
योग = a (1 - rn) / (1 - r )
जहाँ a = पहला पद और r = सार्व अंतर
गणना:
सार्व अंतर (r) = (4/25) ÷ (4/5)
⇒ (1/5)
उपरोक्त सूत्र में r का मान रखने पर हमें प्राप्त होता है:
योग = \(\frac{4}{5}\)(1 - \(\frac{1}{5}\)n) / 1 - \(\frac{1}{5}\)
⇒ \(\frac{4}{5}\)(1- (\(\frac{1}{5}\))n) / \(\frac{4}{5}\)
⇒ (1 - (\(\frac{1}{5}\))n)
अतः सही उत्तर "(1 - (\(\frac{1}{5}\))n)" है।
Last updated on Jun 19, 2025
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