SOLUTION: Give the arithmetic sequence of 5 terms if the first term is 8 and the last term is 100.

Algebra ->  Sequences-and-series -> SOLUTION: Give the arithmetic sequence of 5 terms if the first term is 8 and the last term is 100.      Log On


   

Question 1038899: Give the arithmetic sequence of 5 terms if the first term is 8 and the last term is 100.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You want a selection of how many terms and common difference.

100-8=92


8%2Bd%28n-1%29=100
d%28n-1%29=92

92=2%2A46=2%2A2%2A23
You have an equation d%28n-1%29=2%2A2%2A23.
Ask yourself: Do you want d to be 2, or 4, or 23, or 46 ? Which? After you choose, solve for a value of n that corresponds.


Notice, your question specifies FIVE terms. THAT is what controls what you do. You first are given a way to choose n.
-
n-1=%285-1%29=4.
You must start with n=5 which gives your factor of 4.
NOW evaluate for common difference, d.



d=23

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Give the arithmetic sequence of 5 terms if the first term is 8 and the last term is 100.
a%5B1%5D+=+8, and d, or common difference = 23

Hence, AP is: highlight_green%28matrix%281%2C3%2C+a%5Bn%5D%2C+%22=%22%2C+23n+-+15%29%29