Question
Download Solution PDFयदि एक गुणोत्तर श्रेढ़ी (GP) का प्रथम पद 15 और सार्व अनुपात 4 है, तो इसके 4 पदों का योगफल ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
गुणोत्तर श्रेढ़ी (GP) का प्रथम पद = 15
गुणोत्तर श्रेढ़ी (GP) का सर्वानुपात = 4
प्रयुक्त सूत्र:
\(S_n=a_1\times \dfrac{(r^n-1)}{(r-1)}\)
गणना:
\(S_4=15\times \dfrac{(4^4-1)}{(4-1)}\) \(= \dfrac{15\times 255}{3} = 1275\)
∴ उत्तर 1275 है।
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