Transcription of Sequence and Series Review Answer Key - Lexington
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Math 2B/3A Name _____ANSWER KEY_____. Sequence and Series Review Sequence and Series Review Skills and Concepts: Identifying whether a Sequence or Series is arithmetic, geometric or neither Writing a function that generates a Sequence of numbers, particularly linear and exponential functions Writing function rules using both recursive and closed/explicit formats Generating a table of values from a recursive or closed/explicit function rule Finding the nth term of a Sequence (generate a rule and plug in the appropriate value). Calculating the number of terms in a Sequence (function rule = last term, solve for n). Applying Gauss' and Euclid's formulas to find sums of arithmetic and geometric Series Find definite and indefinite sums using sigma notation Identify properties of Sigma Determine the number of terms being added in a Series Identify whether a function is linear, quadratic, exponential or none of these Identify if the terms of a Sequence have a limit Determine if the sum of a Series has a limit and what that limit is Mixed Problem Set: 1.
Sequence and Series Review Answer Key page 2 4. Find the sum of the first six terms of the sequence: 27, –9, 3, –1, … Geometric with r = –1/3 and a first term of 27 so sum = 271−−
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