Arithmetic Sequence

**magentarita** · October 23rd 2008, 12:13 PM

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}

**masters** · October 23rd 2008, 12:34 PM

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, $a_n$ , in an arithmetic sequence, use the following formula:

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

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

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

**magentarita** · October 23rd 2008, 05:46 PM

Originally Posted by masters

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

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

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

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

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.

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