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Use the formula for $a_{n}$ to find the general term of each arithmetic sequence.$$-3,0,3, \dots$$
$a_{n}=3 n-6$
Precalculus
Chapter 14
Sequences and Series
Section 2
Arithmetic Sequences
Introduction to Sequences and Series
Introduction to Combinatorics and Probability
Campbell University
Piedmont College
Harvey Mudd College
Lectures
07:16
In mathematics, a continuo…
04:09
01:40
Use the formula for $a_{n}…
00:51
Find the indicated term of…
01:49
01:21
00:56
00:37
For each arithmetic sequen…
01:03
00:42
Find the first four terms …
01:28
00:38
we're being asked to use the formula for a seven to find the general term for that will allow us to find that any term in this particular arithmetic sequence or remember, our formula for a seven is a seven is equal to a someone plus the quantity of n minus one times D. So in order to write this formula, we're going to need to find our ace of one, and devalues will remember. Ace of One represents the first term of this sequence, which in this case is negative. Three. Now we just need to find d Remember, D is the constant that's is getting added to get from one term to the next wall to get from Negative ST zero, we're gonna add three, Which means our common difference ISTEA. So now we're going to substitute these values into our formula. So we're gonna have a sub n equals negative three plus the quantity of and minus one Time street. Well, now we're going to simplify. So first we're going to distribute, so we'll bring down the negative three then love three times in which is positive. Three in and three times negative. One is negative. Three Well, I see. We have, like, terms. We have negative three minus three, which is negative. Six. So what a seven is equal to negative six plus three end. So now we've found an expression to find any term in the sequence. It's represented by negative six upholstery and
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