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Exercise 1

Avg difficulty 3.0

Evaluate the following sums.

  1. ∑i=35(7ix+11)\displaystyle\sum_{i=3}^{5}(7ix+11)

  2. ∑x=35(7ix+11)\displaystyle\sum_{x=3}^{5}(7ix+11)

  3. ∑i=−3−5(−7ix−11)\displaystyle\sum_{i=-3}^{-5}(-7ix-11)

  4. ∑i=48ijk\displaystyle\sum_{i=4}^{8}ijk

  5. ∑j=48ijk\displaystyle\sum_{j=4}^{8}ijk

  6. ∑n=48ijk\displaystyle\sum_{n=4}^{8}ijk

  7. ∑i=3713\displaystyle\sum_{i=3}^{7}13

  8. ∑i=13i2+∑j=46j2\displaystyle\sum_{i=1}^{3}i^{2}+\sum_{j=4}^{6}j^{2}

  9. ∑i=13(∑j=57(i+j))\displaystyle\sum_{i=1}^{3}\left(\sum_{j=5}^{7}(i+j)\right)

Kan, A Complete Introduction to Abstract Algebra, Preliminaries, Algebra, Exercise 1

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Adapted from A Complete Introduction to Abstract Algebra © 2022–2026 Kan Onn Kit. Licensed under CC BY-SA 4.0. Source: A Complete Introduction to Abstract Algebra. Imported at revision a559e8b.