SOLUTION: What is the formula for finding the nth term in an arthematic sequence

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Question 697961: What is the formula for finding the nth term in an arthematic sequence
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
a%5B1%5D = first term of an arithmetic sequence
d = common difference
The second term is
a%5B2%5D=a%5B1%5D%2Bd
The third term is
a%5B3%5D=a%5B2%5D%2Bd and can also be calculated as a%5B2%5D=a%5B0%5D%2B2d
because a%5B2%5D%2Bd=%28a%5B1%5D%2Bd%29%2Bd=a%5B0%5D%2B2d
The fourth term is
a%5B4%5D=a%5B3%5D%2Bd and can also be calculated as a%5B4%5D=a%5B0%5D%2B3d
It goers on like that adding one more d every time, so
the nth term is highlight%28a%5Bn%5D=a%5B0%5D%2B%28n-1%29d%29

Hopefully you see how the formula makes sense, and how we got to that formula.
If you do, you do not need to memorize the formula because you will know that to get to the nth term
you added d again and again for a total of %28n-1%29 times.
You would never need to ask for that formula either.