Algebra
posted by Kathleen on .
i am stuck on this one math problem. The question is to write a rule for the pattern (it is a section on sequences)
The pattern is 5,10,15,20,25. What is the rule? A sub n = ?

term_{n} = (5n)(1)^n

The signs are alternating and each term is
a multiple of 5. The rule would be
(1)^n(5*n) where n are the integers
1 through 5. To show you that this is true I will evaluate the expression for
each value of n 1 through 5
n=1 (1)^1*5*1=1(5)=5
n=2 (1)^2*5*2=1(10)=10
n=3 (1)^3*5*3=1(15)=15
n=4 (1)^4*5*4=1(20)=20
n=5 (1)^5*5*5=1(25)=25