MediumDerivatives

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §1.2 Calculus Without Limits, #29 · Calculus · Derivatives

Suppose … and the …'s are

This problem involves numbers $f_{0}, f_{1}, f_{2}, \dots$ and their differences $v_{j} = f_{j} - f_{j - 1}$ . They give practice with subscripts $0, \dots, j$ .

Suppose $f_{0} = 0$ and the $v$ 's are $1, \frac{1}{2}, \frac{1}{2}, \frac{1}{4}, \frac{1}{4}, \frac{1}{4}, \frac{1}{4}, \dots$ . For which $j$ does $f_{j} = 5$ ?

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §1.2 Calculus Without Limits, #29

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