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1 থেকে 37-এর মধ্যে জোড় সংখ্যাগুলির সমষ্টি কত?

  1. 171
  2. 342
  3. 129
  4. 428

Answer (Detailed Solution Below)

Option 2 : 342
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⇒ নির্ণেয় সমষ্টি = 2 + 4 + 6 + 8 + ……. + 36

⇒ নির্ণেয় সমষ্টি = 2(1 + 2 + 3 + …… + 18)

আমরা জানি,

প্রথম n সংখ্যক স্বাভাবিক সংখ্যার সমষ্টি = n(n + 1)/2

⇒ নির্ণেয় সমষ্টি = 2 × n × (n + 1)/2      (যেখানে n = 18)

⇒ নির্ণেয় সমষ্টি = 18 × 19 = 342
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