What is the sum of this series? The series is as follows: lg &#x2061;<!-- ⁡ --> n +

rynosluv101wopds

rynosluv101wopds

Answered question

2022-05-16

What is the sum of this series?
The series is as follows:
lg n + l g ( n 2 ) + l g ( n 4 ) + + l g ( 2 )
Thanks.

Answer & Explanation

Ariella Bruce

Ariella Bruce

Beginner2022-05-17Added 19 answers

I assume n is even. We write n = 2 k then your series is
i = 1 k ln ( 2 i ) = ln ( i = 1 k 2 i ) = k ln 2 + ln ( k ! )
I don't think there is a nicer expression for this...

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