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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