SOLUTION: Find the common ratio and the next term for the sequence shown if possible. And perhaps how you got to that? Thanks! Squence: 333 1/3, 250, 187 1/2.

Algebra ->  Sequences-and-series -> SOLUTION: Find the common ratio and the next term for the sequence shown if possible. And perhaps how you got to that? Thanks! Squence: 333 1/3, 250, 187 1/2.      Log On


   

Question 871743: Find the common ratio and the next term for the sequence shown if possible. And perhaps how you got to that? Thanks!
Squence: 333 1/3, 250, 187 1/2.
Found 2 solutions by richwmiller, MathTherapy:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
1000/3*3/4=250
250*3/4=750/4=187.5
187.5*3/4=140.625
ratio=3/4
multiply the last term by 3/4
333 1/3=1000/3
divide 250 by 1000/3=3/1000*250=3/4


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Find the common ratio and the next term for the sequence shown if possible. And perhaps how you got to that? Thanks!
Squence: 333 1/3, 250, 187 1/2.


Divide the 2nd term (250) by the 1st term (333%261%2F3. This should give you 3%2F4, or .75

Divide the 3rd term (187%261%2F2) by the 2nd term (250). This should give you 3%2F4, or .75

Therefore, the common ratio, or r = 3%2F4, or .75



Next term, or the 4th term, or t%5B4%5D+=+%28187%261%2F2%29+%2A+%283%2F4%29, or %28375%2F2%29+%2A+%283%2F4%29, or 1125%2F8, or highlight_green%28140%265%2F8%29

OR

Next term, or the 4th term, or t%5B4%5D+=+a%5B1%5D+%2A+%283%2F4%29%5E%284+-+1%29, or t%5B4%5D+=+%28333%261%2F3%29+%2A+%283%2F4%29%5E3, or t%5B4%5D+=+%281000%2F3%29+%2A+%2827%2F64%29

After cancelling, t%5B4%5D+=+2250%2F16, or 140%2610%2F16, or highlight_green%28140%265%2F8%29

You can do the check!! 



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