SOLUTION: Please can you help me with Arithmetic Sequences because I don't know how to
do it. The problem say determine whether each sequence is an arithmetic
sequence. If it is, state t
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do it. The problem say determine whether each sequence is an arithmetic
sequence. If it is, state t
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Question 161829This 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 determine whether each sequence is an arithmetic
sequence. If it is, state the common difference.
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.
An arithmetic sequence happens when the difference between successive terms is always the same (i.e. you get the next terms by adding or subtracting the same number to the previous one)
Quick example 1, 7, 13, 19
1+6=7+6=13+6=19....in this case the common difference is 6
Now in your situation you want to see if the numbers in your sequence are increasing by the same number.
1. When dealing with fractions and mixed numbers it is always a good idea to change mixed numbers to improper fractions
2. When dealing with fractions and arithmetic sequences you should first make sure all fraction have the same denominator...
1st term: 7/12
2nd term: 1_1/3=4/3 * (4/4)=16/12
3rd term: 2_1/12=25/12
4th term: 2_5/6=17/6 * (2/2)=34/12
Now find the difference between the 2nd term and 1st term: 16/12 - 7/12 = 9/12
Find the difference between the 3rd term and the 2nd term: 25/12 - 16/12= 9/12
And the difference between the 4th term and 3rd term is also 9/12
Therefore, the sequence is arithmetic and the common difference is 9/12 This question is from textbook Algebra 1
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