Suppose Σ an is a convergent series with positive terms an such that f is a continuous, decreasing function n=1 with f(n

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Suppose Σ an is a convergent series with positive terms an such that f is a continuous, decreasing function n=1 with f(n) = an for all integers n ≥ 1. Let N > 1 be some positive integer, and suppose that the Nth partial sum of the series is Sy = 18. Given that f(x)dz = 0.12 and f(x) dx = 0.04, determine N ∞ a lower bound I and an upper bound U such that L < a <U. Use the picture below as an aid. n=1 L = U= ƒ(1) = a₁ 1 A bunch of other rectangles here for n=2, n=3,...,n=N-1 f(N) =aN N N+1