Arithmetic and geometric sequences and series worksheet pdf

# Arithmetic and geometric sequences and series worksheet pdf
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Find the three terms in the sequence after the last one given. Write a brief description of the pattern, 1, 6,, ______, ______, ______., 3,,, ______, ______, ______,,,, _____, _____, _____.,,,, _____, _____, _____ Worksheet by Kuta Software LLC Kuta SoftwareInfinite Precalculus Geometric Sequences and Series Name_____ Date_____ Period____Determine if the sequence is geometric. An arithmetic progression, or AP, is a sequence where each new term after the first is obtained by adding a constant d, called the common difference, to the preceding term. If it is, find the common ratio, the 8th term, and the explicit formula) Finding the sum of a given arithmetic sequenceIdentify a 1, n, and d for the sequenceIf one of the above is not known, use a = a n d n(1) to find itSubstitute and evaluate: ()nn n S = a aWrite down the stated term and the formula for the nth term of the following arithmetic sequences a. ó, í, í ñ, Date________________ Period____. and a = Given a term in an arithmetic sequence and the common difference find the term named in the problem, the explicit formula, and the Arithmetic and geometric sequence and series Study Development Worksheet AnswersThe general formula for the terms in an arithmetic sequence is an=a1+(n− s)dwhere 𝑑 case of sequenceA sequence likeorabove is called an arithmetic sequence or arithmetic progression: the number pattern starts at a particular value and then General formula for a geometric series) Find the designated sum of the arithmetic series a) 𝑆of 3+7+11+15+⋯ b) 𝑆of −13−11−9−7−⋯ c) 𝑆9 of+20+18+16+⋯ d) 𝑆of −2−5−8−11−⋯ 2) Determine the sum of each arithmetic series a) 6+13+20+⋯+b) 4+15+26+⋯+ c) 5−8−21−⋯− d) +90+80 Arithmetic 7) 1, 5,,,,Geometric 8) 1, 4, 9,,,Neither 9) −34, −26, −18, −10, −2,Arithmetic) 0, 3, 8,,,Neither) a n = − + n Arithmetic) a n =+ 3n Arithmetic) a n = −4 ⋅ (−3)n −Geometric) a n = −+n Arithmetic Arithmetic and Geometric Sequences. If Given the first term and the common ratio of a geometric sequence find the recursive formula and the three terms in the sequence after the last one given)) Next and a =Find a.