log 11 + log 121 + log 1331 + --------- ধারাটির প্রথম দশটি পদের সমষ্টি কত ?  

A    45 log 11 

B    55 log 11 

C    35 log 11 

D      66 log 11 

Solution

Correct Answer: Option B

  Log 11+ log 121 + log 1331 + ------- 

= log 11 + log 11 + log 11 + -------- log 1110  

= log 11 +2 log 11 + 3 log 11 + -------- 10 log 11 

= log 11(1+2+3+----- 10) 

= \(\frac{{10(10 + 1)}}{2}\log 11\)  = 55 log 11 

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