# Arithmetic Sequence

• Oct 23rd 2008, 12:13 PM
magentarita
Arithmetic Sequence
An arithmetic sequence is given for each question below whose initial term a and common difference d are also given. What is the firth term?

(1) a = 6; d = -2

(2) a = sqrt{2}; d = sqrt{2}

• Oct 23rd 2008, 12:34 PM
masters
Quote:

Originally Posted by magentarita
An arithmetic sequence is given for each question below whose initial term a and common difference d are also given. What is the firth term?

(1) a = 6; d = -2

(2) a = sqrt{2}; d = sqrt{2}

To find the nth term, $\displaystyle a_n$, in an arithmetic sequence, use the following formula:

$\displaystyle a_n=a_1+(n-1)d$, where the first term is $\displaystyle a_1$ and the common difference is $\displaystyle d$

(1) $\displaystyle a_5=6+(5-1)(-2)=??$

(2) $\displaystyle a_5=\sqrt{2}+(5-1)(\sqrt{2})=??$
• Oct 23rd 2008, 05:46 PM
magentarita
I get it...
Quote:

Originally Posted by masters
To find the nth term, $\displaystyle a_n$, in an arithmetic sequence, use the following formula:

$\displaystyle a_n=a_1+(n-1)d$, where the first term is $\displaystyle a_1$ and the common difference is $\displaystyle d$

(1) $\displaystyle a_5=6+(5-1)(-2)=??$

(2) $\displaystyle a_5=\sqrt{2}+(5-1)(\sqrt{2})=??$

Your easy steps and guidance has increased my understanding of precalculus. I hope you will help me when I enter calculus 1 not too long from now.