15 a 38 53 2 d 1 1 16 a 40 1191 d 30 17 a 37 249 d 8 18 a 36 276 d 7 given the first term and the common difference of an arithmetic sequence find the recursive formula and. Arithmetic or geometric sequence determine a formula to represent the sequence.
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A geometric sequence can be defined recursively by the formulas a 1 c a n 1 ra n where c is a constant and r is the common ratio.
Arithmetic and geometric sequences worksheet answer key. 4 3 arithmetic and geometric sequences worksheet determine if the sequence is arithmetic. Comparing arithmetic and geometric sequences. The ratio of consecutive terms remains constant in a geometric sequence.
Understanding arithmetic and geometric sequences answer key. 1 date period t z2r0w1k6x lkhuqtja saosfxtiw a rdek ql lic z x oatltlm krsiggphvtksa rre s edrjveefdp 1 find the common difference the term named in the problem the explicit formula and the three. 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.
If it is find the common difference. This worksheet explains arithmetic and geometric sequence and series. When there is a constant difference between consecutive terms the sequence is said to be an arithmetic sequence on the other hand if the consecutive terms are in a constant ratio the sequence is geometric.
Create your own worksheets like this one with infinite algebra 2. A 100 204 a 101 206. Comparing arithmetic and geometric sequences date period for each sequence state if it is arithmetic geometric or neither.
A sequence is an ordered list of numbers or objects called terms. The end result is at the right time of evaluation there s a great deal of confusion. Arithmetic and geometric sequences a is a list of numbers in a particular order.
Arithmetic and geometric sequences are the two types of sequences that follow a pattern describing how things follow each other. Arithmetic and geometric series worksheet mcr3u jensen general formula for an arithmetic series. A 4 7 9 12.
Worksheet by kuta software llc precalculus arithmetic and geometric sequences practice name id. Worksheet by kuta software llc secondary math 1 4 3 arithmetic and geometric sequences worksheet name date period q y2q0g1f5a pkpuztyav dsaozfmtzwqagrqes dlvlucu r j wall lg yrsixg hwths sr ezsqeirnvreede 1 for each sequence state if it is arithmetic geometric or neither. Answers 1 a 3 7 11 15 19 23 27.
Given a term in an arithmetic sequence and the common difference find the first five terms and the explicit formula.
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