CB.Calc.LIM-7.B: Approximate the sum of a series.

Approximate the sum of a series.

Example Problems

The n-th partial sum of the series

\sum_{n=1}^{\infty}{a}_{n}

is given by

{S}_{n} = 3 + \frac{2}{n^{2}}

.
Find

a_6

.

The n-th partial sum of the series

\sum_{n=1}^{\infty}a_n

is given by

S_n = \frac{n^2 + 2n}{n + 3}

.
Find a_4.

The n-th partial sum of the series

\sum_{n=1}^{\infty}a_n

is given by

S_n = \frac{n + 1}{n^2 + 1}

.
Find

\sum_{n=1}^{5}a_n

.

1-on-1 AI tutoring aligned to CB.Calc.LIM-7.B. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.