किसी गुणोत्तर श्रेणी का 10वाँ पद 9 है और चौथा पद 4 है, तो उसका सातवाँ पद होगा-

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Rajasthan 3rd Grade 2013 Level 2 (Maths & Science) Official Paper
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  1. 8
  2. 6
  3. 9
  4. 7

Answer (Detailed Solution Below)

Option 2 : 6
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दिया 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 = ar & 4 = ar3

 (ar9) (ar3) = 36 

⇒ a2r12 = 36

⇒ (ar6)2 = (6)2 

वर्गमूल लेने पर,

ar= 6

∴ 7वाँ पद 6 है।

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