SOLUTION: Write a rule for the nth term of the arithmetic sequence. Then find a20 -3,-1,1,3,5,...

Algebra ->  Sequences-and-series -> SOLUTION: Write a rule for the nth term of the arithmetic sequence. Then find a20 -3,-1,1,3,5,...      Log On


   



Question 189875This question is from textbook
: Write a rule for the nth term of the arithmetic sequence. Then find a20
-3,-1,1,3,5,...
This question is from textbook

Found 2 solutions by user_dude2008, solver91311:
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
nth term: ... n starts at 1

===>


Ans:

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The general formula for the nth term of an arithmetic sequence is:



Where is the first term and is the common difference.

Figure out how much you add to each of the terms to get from one to the next in your given sequence, that is your common difference. The first term is -3. Substitute these values into the general formula to create your specific formula.

Then substitute 20 for in the formula and do the arithmetic to derive the value of

John