Question: Given a Midpoint Rule approximation M(n) and a Trapezoid Rule approximation T(n) for a continuous function on [a, b] with n subintervals, show that T(2n)

Given a Midpoint Rule approximation M(n) and a Trapezoid Rule approximation T(n) for a continuous function on [a, b] with n subintervals, show that T(2n) = (T(n) + M(n))/2.

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