Mathematics

Problem

The Riemann sum

\displaystyle \sum_{i=1}^{n} \left(5+\frac{2i}{n}\right)^{3}\left(\frac{2}{n}\right)

is formed using

n

subintervals of equal width on a closed interval of the

x

-axis. What is the value of

\Delta x

for this sum? a)

\dfrac{5}{n}

\dfrac{1}{n}

\dfrac{2}{n}

\dfrac{7}{n}