Question
Download Solution PDFएक गुणोत्तर श्रेणी का nवा पद 2n है, तो पहले छह पदों का योग क्या होगा?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
माना अनुक्रम a1, a2, a3 …. an एक गुणोत्तर श्रेणी है
गुणोत्तर श्रेणी का nवा पद an = arn − 1 है
n पदों का योग, s =
n पदों का योग, s =
गणना:
दी गई श्रेणी के लिए पहला पद 2 है
दूसरा पद 22 = 4 है,
इसलिए, सामान्य अनुपात, r =
चूंकि, r = 2 > 1
पहले 6 पदों का योग
s =
⇒ s = 2(64 - 1)
⇒ s = 126
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