Question 930752
The first term is -3. So a = -3


The common ratio is -1/4. This is because you multiply each term by -1/4 to get the next term.


You can see this if you divide the second term (3/4) by the first term (-3) and you'll get -1/4. You could also divide the third term by the 2nd term, or the 4th over the 3rd, etc etc


So r = -1/4


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We now know


a = -3
r = -1/4


You plug them into the general geometric sequence formula


an = a*(r)^(n-1)


to get


an = <font color="red">-3*(-1/4)^(n-1)</font>


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