एक समांतर श्रेणी का 5वां और 17वां पद क्रमश: 52 और 184 है। श्रेणी का सार्व अंतर ज्ञात कीजिए।

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ALP CBT 2 Physics and Maths Previous Paper 5 (Held On: 22 Jan 2019 Shift 2)
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  1. 7
  2. 5
  3. 11
  4. 9

Answer (Detailed Solution Below)

Option 3 : 11
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दिया गया है कि:

5वां = 52

11वां = 184

प्रयुक्त सूत्र:

an = a1 + (n - 1) × d

an = nवीं संख्या

a1 = श्रेणी की पहली संख्या

d = संख्या में अंतर

गणना:

प्रश्नानुसार:

⇒ a1 + (5 - 1) d = 52

⇒ a1 + (17 - 1) d = 184

⇒ a1 + 4d = 52     ---(i)

⇒ a1 + 16d = 184     ---(ii)

दोनों समीकरणों को बराबर करने पर, हम पाते हैं कि:

⇒ d = 11

∴ अभीष्ट सार्व अंतर = 11
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