What is the common ratio of the sequence? -2, 6, -18, 54,...
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Split up the interval [0, 3] into 3 equally spaced subintervals of length . So we have the partition
[0, 1] U [1, 2] U [2, 3]
The left endpoint of the -th subinterval is
where .
Then the area is given by the definite integral and approximated by the left-hand Riemann sum