C-13-Q123mediumsingle_mcq

The sum of the first $10$ terms of $\log 2 + \log 4 + \log 8 + \cdots$ is —

a $55 \log 2$
b $45 \log 2$
c $50 \log 2$
d $10 \log 2$

ব্যাখ্যা

Writing each term as $\log 2,\,2\log 2,\,3\log 2,\dots$ , the sum of $10$ terms is $\log 2\,(1+2+\cdots+10)=\log 2\cdot\dfrac{10\cdot 11}{2}=55\log 2$ .

এই অধ্যায়ের আরও প্রশ্ন

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The sum of the first $10$ terms of $\log 2 + \log 4 + \log 8 + \cdots$ is —

55 \log 2

45 \log 2

50 \log 2

10 \log 2

ব্যাখ্যা

Writing each term as $\log 2,\,2\log 2,\,3\log 2,\dots$ , the sum of $10$ terms is $\log 2\,(1+2+\cdots+10)=\log 2\cdot\dfrac{10\cdot 11}{2}=55\log 2$ .

The sum of the first 101010 terms of log⁡2+log⁡4+log⁡8+⋯\log 2 + \log 4 + \log 8 + \cdotslog2+log4+log8+⋯ is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

The sum of the first 101010 terms of log⁡2+log⁡4+log⁡8+⋯\log 2 + \log 4 + \log 8 + \cdotslog2+log4+log8+⋯ is —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

The sum of the first $10$ terms of $\log 2 + \log 4 + \log 8 + \cdots$ is —

The sum of the first $10$ terms of $\log 2 + \log 4 + \log 8 + \cdots$ is —