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Exercise 106

Avg difficulty 2.5

Reindex the following series to have the powers be xkx^k.

  1. ∑k=3∞k(k−1)xk+3\displaystyle \sum_{k=3}^\infty k(k-1)x^{k+3}
  2. ∑k=1∞(k+1)xk−1\displaystyle \sum_{k=1}^\infty (k+1)x^{k-1}
  3. ∑k=5∞2kxk−2\displaystyle \sum_{k=5}^\infty 2kx^{k-2}

Lebl, Notes on Diffy Qs, §7.1 Power series, exercise 106

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Adapted from Notes on Diffy Qs © 2008–2026 Jiří Lebl. Licensed under CC BY-SA 4.0. Source: Notes on Diffy Qs: Differential Equations for Engineers. Imported at revision 658bcae.