JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Application +4 | -1

The sum

\sum_{k=1}^{20} k \frac{1}{2^{k}}

is equal to :

View answer and explanation

Correct option: C

2-\frac{11}{2^{19}}

Option C (2-

\frac{11}{2^{19}}

) is correct because it is the result of summing the given series using the method of differences.

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{x^2},{b^2},{y^2}

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\log \left(\frac{a}{3 b}\right)

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\frac{3}{4}