Chapter 12: Sequences and Series

A sequence is a function whose domain is ______.

An arithmetic sequence is a sequence in which the _____ between successive terms is constant.

Terms of a Sequence Find the first four terms and the 100th term of the sequence whose nth term is given.

$a_n=\frac{1}{n^2}$

Terms of an Arithmetic Sequence The $n\text{th}$ term of an arithmetic sequence is given.

a. Find the first five terms of the sequence.

b. What is the common difference $d$.

c. Graph the terms you found in part (a).

$a_n=\frac{1}{2}\left(n-1\right)$

$n\text{th}$ Term of an Arithmetic sequence Find the $n\text{th}$ term of the arithmetic sequence with given first term $a$ and common difference $d$. What is the $10\text{th}$ term?

$a=9,d=4$

Terms of a Sequence Find the first four terms and the 100th term of the sequence whose nth term is given.

$a_n=1+{\left(-1\right)}^n$

$n\text{th}$ Term of an Arithmetic sequence Find the $n\text{th}$ term of the arithmetic sequence with given first term $a$ and common difference $d$. What is the $10\text{th}$ term?

$a=-5,d=4$

Terms of a Sequence Find the first four terms and the 100th term of the sequence whose nth term is given.

$a_n={\left(-1\right)}^{n+1}\frac{n}{n+1}$

$n\text{th}$ Term of an Arithmetic sequence Find the $n\text{th}$ term of the arithmetic sequence with given first term $a$ and common difference $d$. What is the $10\text{th}$ term?

$a=-0.7,d=-0.2$

Terms of a Sequence Find the first four terms and the 100th term of the sequence whose nth term is given.

$a_n=n^n$