అంకశ్రేణి యొక్క 5 మరియు 17 పదాలు వరుసగా 52 మరియు 184. శ్రేణి యొక్క సాధారణ వ్యత్యాసాన్ని కనుగొనండి.

This question was previously asked in
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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Detailed Solution

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ఇచ్చింది:

5 = 52

11 = 184

ఉపయోగించిన సూత్రం:

a= a+ (n - 1) × d

an = n సంఖ్య

a1 = శ్రేణిలో 1వ సంఖ్య

d = సంఖ్యలో వ్యత్యాసం

గణన:

ప్రశ్న ప్రకారం:

⇒ a+ (5 - 1) d = 52

⇒ a1 + (17 - 1) d = 184

⇒ a+ 4d = 52     ---(i)

⇒ a+ 16d = 184     ---(ii)

రెండు సమీకరణాలను సమం చేస్తే మనకు లభిస్తుంది

⇒ d = 11

∴ అవసరం సాధారణ వ్యత్యాసం = 11
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