log 2 + log 4 + log 8 + log 16 + .............. ধারাটির প্রথম ১০টি পদের সমষ্টি কত?
Solution
Correct Answer: Option C
log 2 + log 22 + log 23 + log 24 + .-----------log210
= log 2 + 2log 2 + 3log 2 + ------ 10log 2
= log 2 ( 1 + 2 + 3 + ------+ 10)
= log 2 {10(10+1)/2}
= log 2 55
= 55 log 2
= log 2 + 2log 2 + 3log 2 + ------ 10log 2
= log 2 ( 1 + 2 + 3 + ------+ 10)
= log 2 {10(10+1)/2}
= log 2 55
= 55 log 2
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