A.P. ক্রমের 5 তম এবং 17 তম পদ যথাক্রমে 52 এবং 184। ক্রমের সাধারণ পার্থক্য নির্ণয় করুন।

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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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প্রদত্ত:

তম = 52

11 তম  = 184

ব্যবহৃত সূত্র:

an = a1 + (n - 1) × d

an = n তম সংখ্যা

a1 = ক্রমের ১ম সংখ্যা

d = সংখ্যার পার্থক্য

গণনা:

প্রশ্নানুযায়ী:

⇒ a1 + (5 - 1) d = 52

⇒ a1 + (17 - 1) d = 184

⇒ a1 + 4d = 52     ---(i)

⇒ a1 + 16d = 184     ---(ii)

উভয়কে সমানভাবে বর্ণনা করার পর আমরা যে সমীকরণটি পাই তা হল 

⇒ d = 11

∴ অপরিহার্য সাধারণ পার্থক্য = 11
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