Sigma - AP Calculus - Lecture Notes, Study notes of Calculus

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Calculus Section 4.2A Notes Learning Targets... 1. Evaluate summations LT: Evaluate summations n ya =a,+a,++*+a, i=1 « This is called e jis the ath © ajisthei™ term * 1 &nare the [ower and Upper bounds e 3 ways to evaluate... o Byhand o Calculator . MATH: summation(x*,x, 1,5) = LIST: sum(seq(x”,x, 1, 5,1)) o Use Theorem 4.2 Summation Formulas (p.260) Evaluate the summation. 5 1) ‘ aha steqes” =ss5 Ye i=1 e Properties of summations... © Factor outa constant n n o Separate terms 5 5 = ere t=1 i Evaluate the summation. 2) 4 s 100(k + 1)? k=1 Hint: Use properties of summations 4 4 # loofS 4+ aSk+t =1) k=\ kei ke! 160 ( [e4ele) + a(iere3edyeCiitat)] \oof 3° +20 +4) = 1/2