SOLUTION: What is the equation of the following sequence? 1. -5, -2, 1, 4.... 2.3, -6, 12 -24... 3.1, 4, 9, 16....

Question 978413: What is the equation of the following sequence?
1. -5, -2, 1, 4....
2.3, -6, 12 -24...
3.1, 4, 9, 16....

Answer by 428225(90) (Show Source): You can put this solution on YOUR website!
1) a=-5�(a is the first term) d=3 (d is the common difference between the terms)

So using the arithmetic sequence formula...
u(subscript n) = -5+(n-1)(3)
Equation of sequence =3n-8

2)a=-6 r=-2 (When two numbers are next to each other, you find r by dividing the latter term by the previous term. In this case you can divide -6 by 3, or 12 can be divided by -6 to get r=-2)

Equation of sequence = -6(-2)^(n-1)

3) The geometric equation of this sequence is a lot simpler than the others, you must simply spot that the numbers in the term are the square numbers.
So...

Equation of sequence = n^2
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