https://web2.0calc.com/questions/i-am-having-trouble-with-this-question-on-a-semester-review
See if you can figure it out from this problem.
We need the starting term (a_1) and we to know how much you increase/decrease from term to term.
=^._.^=
I was having trouble on how to find the common ratio. at first i was thinking as taht i needed to treat a_4 like a problem such as a_2=41 therefore 41=a_1*r but i can't figure out how to format it that way or if im even on the right path.
You're solving for geometric, not arithmetic.
First, we need to look for the common ratio.
x, x + y, x + 2y, x + 3y, x + 4y, ...
a_4 = x + 3y
a_16 = x + 15y
Subtract those 2 equations.
125-41 = x + 15y - (x + 3y)
84 = 12y
y = 7 (that's the common ratio)
a_4 = x + 3y
41 = x + 3(7)
x = 20
So our first term is 20, then we add 7 for the next term.
a_n = 20 + 7(n-1)
=^._.^=