Posted by **Anonymous** on Tuesday, September 13, 2011 at 10:36pm.

Consider the sequence 12, 5, -2, -9

Determine the formula for the general term of the sequence:

tn = a + (n-1)d

tn = 12 + (n-1)-7

tn = 12-7n + 7

tn = -7n + 19

I got -7n +19 as the answer, but at the back of the book, it says.. tn = 19-7n. I have no idea how the numbers got mixed up :\

- Math Formula--General Term -
**MathMate**, Wednesday, September 14, 2011 at 12:10am
Both are correct, and mathematically equivalent.

A linear expression is usually presented the way you did, i.e. the term with the variable first, followed by the constant:

-7n+19.

However, there are times that we want to get rid of the annoying leading negative sign (if there are positive terms), and place the positive term first.

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