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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.1 The Idea of the Integral, #5 · Calculus · Integrals

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This problem is about sums $f_{j}$ and differences $v_{j}$ .

Show that $f_{j} = r^{j} / (r - 1)$ has $f_{j} - f_{j - 1} = r^{j - 1}$ .
Therefore the geometric series $1 + r + \dots + r^{j - 1}$ adds up to ____ (remember to subtract $f_{0}$ ).

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.1 The Idea of the Integral, #5

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