a, a - b, a - 2b, a - 3b,...... శ్రేణిలోని 10వ పదం  20 మరియు 20వ పదం 10 అయితే, శ్రేణి యొక్క x పదం కనుగొనండి?

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Bihar Police Constable Memory Based Paper (Held On: 1st October 2023 Shift 1)
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  1. 10 - x
  2. 20 - x
  3. 29 - x
  4. 30 - x

Answer (Detailed Solution Below)

Option 4 : 30 - x
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ఇచ్చినది:

a, a - b, a - 2b, a - 3b,...... శ్రేణి యొక్క 10వ పదం 20. 20వ పదం 10.

గణన:

10 పదం = a - 9b = 20 --(1)

20 పదం = a - 19b = 10 ---(2)

సమీకరణం (2) ను (1) నుండి తీసివేసినప్పుడు:

a - 9b - (a - 19b) = 20 - 10

⇒ a - 9b - a + 19b = 10

⇒ 10 b = 10

⇒ b = 1

సమీకరణం (1) నుండి:

a - 9 (1) = 20

a = 20 + 9 = 29

ఇప్పుడు, x పదం = a - (x - 1)b

⇒ 29 - (x - 1) (1)

⇒ 29 - x + 1 = 30 - x

శ్రేణి యొక్క Xవ పదం 30 - x .

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