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

inhiba5f 2022-09-13 Answered
How do you find the nth term of the sequence −1,2,−3,4,−5,6,...?
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Answers (1)

Hofpoetb9
Answered 2022-09-14 Author has 17 answers
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 n
Secondly, 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
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