MediumDerivatives

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §1.2 Calculus Without Limits, #27 · Calculus · Derivatives

If … find a formula for

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 $0, \dots, j$ .

If $f_{j} = j^{2} + j + 1$ find a formula for $v_{j}$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §1.2 Calculus Without Limits, #27

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Checked against the answer in Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001).