How do you find the nth term of the sequence −1,2,−3,4,−5,6,...?

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Hofpoetb9 · Accepted Answer

We have a sequence:−1,2,−3,4,−5,6,...Firstly we note that the absolute value of the terms increment by unity. so we can denote the absolute value as:1,2,3,4,5,6,...So we can denote the absolute value of the             n              t        h             term by nSecondly, we note that the signs of each term alternates, and we start with a negative term      -    ,    +    ,    -    ,    +    ,    ...  And we can achieve the correct sign for the             n              t        h             term by                     (        -        1        )            n      Hence we can denote the             n              t        h             term of the sequence by:            u      n        =                  (        -        1        )            n        n

How do you find the nth term of the sequence −1,2,−3,4,−5,6,...?

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