This past week we have learned many new things about geometric and arithmetic sequences and series. One thing that I have struggled with throughout the week has finding a term when you don’t have the difference.

Steps: The first thing you need to do is find the difference (d)

1. First I wrote out my formula

2. I then substituted the numbers in where they should be. I got “x” by subtracting the subscripts under “t” (8-3=5)

3. I then solved, trying to isolate the variable (d). I had to move 4 to the other side so I had to subtract it from one side which means I had to do the same to the other side so I did 34-4=30

4. Once I had 30 = 5d, I just had to divide 30 by 5 and 5d by 5 to isolate “d”

5. Once I did this I got 6=d which means I have my difference

Once I have my difference I can use it to solve and find any other term in the sequence