Question 983883: The nth term of an arithmetical progression is n and the nth term is m. Find the first term and the common difference.
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! TYPO!
"The
nth term of an arithmetical progression is n and the
nth term is m."
So, the nth term is n = m ,
and we do not have enough information about the rest of the arithmetic progression?
I guess the problem should read differently,
and I believe I am a good guesser,
but from so little information, all I can manage is some wild guesses.
GUESS # 1:
Maybe it should read
"The nth term of an arithmetical progression is n,
and the kth term is m."
Maybe with a number instead of k, or maybe k is m.
Then, with  being the first term,
and  being the common difference,
 = the nth term, so  , and
 = the kth term, so  .
So
 and
 ---> ---> --->
The resulting formula for is messy,
but I do not see a way to make it look simple.
GUESS # 2:
Maybe it should read
"The sum of the first n terms of an arithmetical progression is n,
and the nth term is m."
Then, with being the first term,
and being the common difference,
the nth term is
 , and
the sum of the first  terms is
 .
So,
 --> --> --> --> , and
 ---> ---> ---> .
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