Question
Download Solution PDFकिसी गुणोत्तर श्रेणी का 10वाँ पद 9 है और चौथा पद 4 है, तो उसका सातवाँ पद होगा-
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
एक गुणोत्तर श्रेणी का 10वाँ पद 9 है और चौथा पद 4 है,
प्रयुक्त अवधारणा:
गुणोत्तर श्रेणी का nवाँ पद = arn-1
गणना:
a10 = 9, a4 = 4
∴ 9 = ar9 & 4 = ar3
⇒ (ar9) (ar3) = 36
⇒ a2r12 = 36
⇒ (ar6)2 = (6)2
वर्गमूल लेने पर,
ar6 = 6
∴ 7वाँ पद 6 है।
Last updated on Jun 2, 2025
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