### Home > PC3 > Chapter 12 > Lesson 12.1.5 > Problem12-77

12-77.

Use what you have learned in this lesson to decide which of the sums below is the largest and which is the smallest.

$\displaystyle \sum _ { n = 1 } ^ { \infty } \frac { 2 } { n }$

$\displaystyle \sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 2 } }$

$\displaystyle \sum _ { n = 1 } ^ { \infty } \frac { 1 } { 2 n ^ { 2 } - n }$

The larger the value of the denominator, the smaller the value of the fraction (for positive values).