log2+log4+log8+......ধারাটির প্রথম দশটি পদের সমষ্টি কত?

A 45 log2

B 55 log2

C 65 log2

D 75 log2

Solution

Correct Answer: Option B

এখানে,
প্রদত্ত ধারাটি, log2 + log4 + log8 + -----
= log2 + log4 + log8 +  -----
= log21 + log22 + log23 +  -----
= log2 + 2log2 + 3log2 +  -----
= log2 (1 + 2 + 3 + ---------)
= log2 {10(10 + 1)/2}
= log2 (5 × 11)
= log2 × 55
= 55log2

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