Given the explicit formula for a geometric sequence find the term named in the problem. If it is find the common ratio.
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Given the first term and the common ratio of a geometric sequence find the explicit formula and the three terms in the sequence after the last one given.
Arithmetic and geometric series worksheet answers. Arithmetic and geometric series worksheet mcr3u jensen general formula for an arithmetic series. General formula for a geometric series. Arithmetic 16 a n 2n 2 neither 17 a n 43 7n arithmetic 18 a n n 2n neither 19 a n 3 n 1 geometric 20 a n 2 3 n 1 geometric 21 a n a n 1 6 a 1 17 arithmetic 22 a n na n 1 a 1 1 neither 23 a n a n 1 5 a 1 4 geometric 24 a n a n 1 8 a 1 17.
Sn a 1 rn 1 r example 5. General formula for a geometric series. 5 a 24 38 d 2 find a 36 6 a 9 60 d 10 find a 35 given two terms in an arithmetic sequence find the common difference the term named in the problem and the explicit formula.
Given the rst two terms of a geometric progression as 2 and 4 what. 49 a 1 4 r 4 50 a 1 2 r 4. Arithmetic and geometric sequences and series name date period.
1 find the designated sum of the arithmetic series a. Geometric sequence worksheets are prepared for determining the geometric sequence finding first term and common ratio finding the n th term of a geometric sequence finding next three terms of the sequence and much more. Arithmetic and geometric series worksheet mcr3u jensen general formula for an arithmetic series.
7 a 12 73 and a 35 280. Of 22 20 18 16 d of 2 5 8 11 2 determine the sum of each arithmetic. Q t cm yaddpek owkigtfh i 6iyndf kirnqictoed 6atl yg 3eobdr5a4 k2b u worksheet by kuta software llc kuta software infinite algebra 2 name finite geometric series date period evaluate the related series of each sequence.
1 2 12 72 432 2 1 5 25 125. Sample our free worksheets and start off your. If it is find the common difference.
About this quiz worksheet. So an example of a geometric series is 1 1 10 1 100 1 1000 we can take the sum of the rst n terms of a geometric series and this is denoted by sn. 1 find the designated sum of the arithmetic series a of 3 7 11 15 b.
4 3 arithmetic and geometric sequences worksheet determine if the sequence is arithmetic. Given a term in an arithmetic sequence and the common difference find the term named in the problem and the explicit formula. A geometric series is a geometric progression with plus signs between the terms instead of commas.
Answers 1 a 3 7 11 15 19 23 27. Use this quiz and worksheet to practice with arithmetic and a geometric series. Topics on the quiz include the sum of even integers and the formula for finding an.
With inputs from experts these printable worksheets are tailor made for 7th grade 8th grade and high school students. 3 worksheet by kuta software llc determine if the sequence is geometric.
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