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Just a little help understanding results obtained.

I have found the closed form of a sequence, but am a little unsure if there is a right way or can select either way of using the terms to create the explicit formula.

I have found the common difference from the terms, which is 1.2, in my example I have four terms, -0.4, -1.6, -2.8, -4.

By selecting the term -2.8 I created the formula;

U

I ended up with;

U

Then I selected another term, (- 4) and created the formula;

U

So I guess I am really asking, is there a rule that says which term must be selected to create the formula, or if any of the terms are used, are both the formulas correct?

I have found the closed form of a sequence, but am a little unsure if there is a right way or can select either way of using the terms to create the explicit formula.

I have found the common difference from the terms, which is 1.2, in my example I have four terms, -0.4, -1.6, -2.8, -4.

By selecting the term -2.8 I created the formula;

U

_{n}= U_{2 }+ (n - 1)dI ended up with;

U

_{n}= 1.2n - 4Then I selected another term, (- 4) and created the formula;

U

_{n}= - 5.2 + 1.2nSo I guess I am really asking, is there a rule that says which term must be selected to create the formula, or if any of the terms are used, are both the formulas correct?

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