SOLUTION: how to find the nth term of the following sequence. 1, -2, 3, -4, 5,...

Question 966131: how to find the nth term of the following sequence.
1, -2, 3, -4, 5,...
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Index____________Term
1________________1
2________________1+(n-1)
3________________1+(n-1)
4________________1+(n-1)
That much helps understand the absolute values of the terms,
but the given sequence ALTERNATES in sign.

Index____________Term
1________________------forces sign to be positive; n+1=1+1=2.
2________________1+(n-1)
3________________1+(n-1)
4________________1+(n-1)

EACH term will use the same formula:
Index_______________Term
1__________________
2___________________

, still from the point of view of a simple arithmetic sequence altered to alternate in sign. This can really be made simpler:

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