What is the sum from n=1 to infinity of nln(2) ?

The sum from n=1 to infinity of nln(2) is diverges

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sum from n=1 to infinity of nln(2)

n = 1 \sum \infty n ln (2)

diverges

Solution steps

n = 1 \sum \infty n ln (2)

Apply the constant multiplication rule:

\sum c \cdot a_{n} = c \cdot \sum a_{n}

= ln (2) \cdot n = 1 \sum \infty n

Apply Series Divergence Test:

diverges

= ln (2) diverges

= diverges

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What is the sum from n=1 to infinity of nln(2) ?
The sum from n=1 to infinity of nln(2) is diverges