Question
Download Solution PDFপ্রদত্ত ক্রমটির যোগফল নির্ণয় করুন: (20 + 22 + 24 +........+28) × 3
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
(20 + 22 + 24 +........+28) × 3
অনুসৃত সূত্র:
এটি একটি গুণোত্তর প্রগতি।
a = প্রথম পদ, r = সাধারণ অনুপাত
গুণোত্তর প্রগতির যোগফল = [a(rn - 1)/(r - 1)]
গণনা:
a = 1
r = (22/20) = 4/1 = 4
⇒ ক্রমের যোগফল = [1 × (45 - 1)/(4 - 1)] × 3
⇒ ক্রমের যোগফল = [1 × (210 - 1)/(3)] × 3
⇒ ক্রমের যোগফল = [1 × (1024 - 1)]
⇒ ক্রমের যোগফল = [1 × (1023)]
⇒ ক্রমের যোগফল = 1023
∴ প্রদত্ত ক্রমের যোগফল 1023
Alternate Method
(20 + 22 + 24 +........+28) × 3
⇒ (1 + 4 + 16 + 64 + 256) × 3
⇒ 341 × 3 = 1023
∴ প্রদত্ত ক্রমের যোগফল 1023
Last updated on Jun 25, 2025
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