Evaluating Σ(2i² - 3i) from i=1 to 10

Algebra 2 · Axiom Academy

Using linearity and the standard power-sum formulas to evaluate a summation Evaluate using the properties of summation and the standard formulas for and . Nice work — you evaluated a summation systematically using properties and formulas. Remember: Linearity: — split a sum of terms into separate sums. Factor constants: — pull coefficients out front. Substitute, then simplify: plug in the upper limit, then follow order of operations to reach a single number. These two power-sum formulas cover a huge share of the summations you'll be asked to evaluate — memorizing them pays off quickly.

This is the written version of the interactive lesson above. See the full Algebra 2 course.