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.
<pre>
Divide the 2nd term (250) by the 1st term ({{{333&1/3}}}. This should give you {{{3/4}}}, or .75
Divide the 3rd term ({{{187&1/2}}}) by the 2nd term (250). This should give you {{{3/4}}}, or .75
Therefore, the common ratio, or r = {{{3/4}}}, or .75

Next term, or the 4th term, or {{{t[4] = (187&1/2) * (3/4)}}}, or {{{(375/2) * (3/4)}}}, or {{{1125/8}}}, or {{{highlight_green(140&5/8)}}}
OR
Next term, or the 4th term, or {{{t[4] = a[1] * (3/4)^(4 - 1)}}}, or {{{t[4] = (333&1/3) * (3/4)^3}}}, or {{{t[4] = (1000/3) * (27/64)}}}
After cancelling, {{{t[4] = 2250/16}}}, or {{{140&10/16}}}, or {{{highlight_green(140&5/8)}}}
You can do the check!! 

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