SOLUTION: Please can you help me with Arithmetic Sequences because I don't know how to do it. The problem say find the next three terms of each arithmetic sequence. The problem is 7/12,1

Question 161990This question is from textbook Algebra 1
: Please can you help me with Arithmetic Sequences because I don't know how to
do it. The problem say find the next three terms of each arithmetic sequence.
The problem is 7/12,1_1/3,2_1/12,2_5/6,....
Thanks for your help because I don't get how to do it so if you help me out to
were I can do it on my own then thanks a lot.It's on page 236 my teacher wants
me to do all the even numbers on the practice and apply.This question is from textbook Algebra 1

Answer by KnightOwlTutor(293) (Show Source):
You can put this solution on YOUR website!
I would first convert all terms into fractions
7/12,4/3,25/12,17/6
The difference between 7/12 and 4/3
We first need to find the common denominator:12
7/12
(4/3)(4/4)=16/12 16/12-7/12=9/12
The difference between 4/3 and 25/12 the common denominator is also 12
25/12-16/12=9/12
The difference between 25/12 and 17/6 The common denomiator is 12

34/12 -25/12=9/12
So 9/12 is added to a previous term
34/12+9/12=43/12=3_7/12
43/12+9/12=52/12=13/3 or 4_1/3
52/12+9/12=61/12=5_1/12
3_7/12,4_1/3,5_1/12