4, 6, x, 10, 12, 16 সংখ্যাক্রমটির গড় 14 হলে, 'x' এর মান নির্ণয় করুন।

  1. 23
  2. 15
  3. 8
  4. পরের কোনওটিই নয়

Answer (Detailed Solution Below)

Option 4 : উপরের কোনওটিই নয়
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Detailed Solution

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ধারণা:

একটি সংখ্যাক্রমের গড় হল পদ সংখ্যা দ্বারা পদগুলির সমষ্টির ভাগফল।

গড় = \(\rm \frac{sum \: of\: the \: terms}{number\: of \:terms}\)

গণনা:

প্রদত্ত সংখ্যা 4, 6, x, 10, 12, 16 

গড় 14

\(\rm 14 = \frac{4 + 6 + x + 10 + 12 + 16 }{6} \)

84 = 48 + x

x = 84 - 48

x = 36

∴ x এর মান 36

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