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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.1 The Idea of the Integral, #2 · Calculus · Integrals

The same … are the differences between … Now … and

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

The same $v = 1, 2, 4, 8, \dots$ are the differences between $f = 1, 2, 4, 8, 16, \dots$ Now $f_{0} = 1$ and $f_{j} = 2^{j}$ . (a) Check that $2^{5} - 2^{4}$ equal $v_{5}$ . (b) What is $1 + 2 + 4 + 8 + 16$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.1 The Idea of the Integral, #2

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