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Use the formula for $a_{n}$ to find the general term of each arithmetic sequence.$$-10,-5,0, \ldots$$
Precalculus
Chapter 14
Sequences and Series
Section 2
Arithmetic Sequences
Introduction to Sequences and Series
Introduction to Combinatorics and Probability
Campbell University
Oregon State University
Harvey Mudd College
Lectures
07:16
In mathematics, a continuo…
04:09
00:25
Find the indicated term fo…
01:26
Write a formula for the ge…
00:49
Use the formula for $a_{n}…
00:24
00:55
00:44
00:36
Find the first four terms …
00:59
Find a formula for the gen…
00:23
01:04
Find the first five terms …
we're being asked to use the formula for a seven to find the general term for the given aerobatic sequence Will remember are a seven formula is a sub n is equal to a sub one, plus the quantity of n minus one times t. So in order to find this general term, we need to know where ace of one and devalues will remember. Ace of One represents the first term of this sequence, which in this case is negative and D represents the common difference. It's what we're adding to get for one term to the next. Well, to get from negative 10 to negative five, we add five, which means our common differences positive five. Now that we have these two values for a set of one and d, we just need to substitute them into our formula. So when we do that, we're gonna have a seven is equal to negative 10 plus the quantity of and and minus one times five. Now we're just going to simplify. So first we're gonna distribute the five Well, five times, then is positive five and five times negative One is negative. Five. Well, I see we have late terms, we have negative 10 minus five, which is negative. 15. So what? A seven is equal to negative 15 plus five then. So now we found an expression to represent any term in this sequence is represented by negative 15 plus five.
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