SOLUTION: What is the general term of the arithmetic sequence: -1,-1/4,-1/9,-1/16.......

Question 1087239: What is the general term of the arithmetic sequence: -1,-1/4,-1/9,-1/16.......
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

,,,,.......
look for pattern:

and for nth term will be:
or where =,, ...
by definition:
Sequences of numbers that follow a pattern of adding a fixed number from one term to the next are called arithmetic sequences.
The d-value can be calculated by subtracting any two consecutive terms in an arithmetic sequence.
where is any positive integer greater than
Sequences of numbers that follow a pattern of a fixed number,called the common ratio, from one term to the next are called geometric sequences.

so, in your case we have geometric sequence because we multiplying fixed number by the common ratio

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