Learning Target R1 (Core): I can define basic concepts of sequences. I can find terms of a sequence given their closed formulas. I can identify arithmetic, geometric, and recursive sequences. For each sequence below, complete each of the following: • State whether the sequence is arithmetic, geometric, or neither; • If the sequence is arithmetic, state the common difference; if geometric, state the common ratio; . Give a recursive definition, including the initial value; . Give a closed formula (nth term formula, including what value n should start with.) 1. {-1, 1, 3, 5, 7,...} 2. {4, 8, 16, 32, 64,...}

Q: Find the common difference of the arithmetic sequence –6, –13, –20, ...

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Q: 12. Starting with any rectangle, we can create a new, larger rectangle by attaching a square to the…

A: In each step a square is added to previous rectangle to get rectangle.The main question is how we…

Q: Find the 8th term of the arithmetic sequence -5x + 8,-x+3, 3x - 2,..

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Q: given the sequence write the recursive and explicit rule  -20, -16, -12, -8, -4

A: Find the relation between the terms with their preceding terms and determine the recursive rule for…

Q: Find the first 4 terms of the recursively defined sequence. a1 =-3, an+1= an+9

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Q: Find the missing values. Assume the parentheses separated terms in the corresponding arithmetic…

A: Given: Terms are in arithmetic sequence  we know that difference between any two consecutive terms…

Q: Ten-foot lengths of 2 x 2 lumber are to be cut into five pieces to form children’s building blocks;…

A: The given length of the log is 10 ft. We have to cut the log into 5 blocks, such that the lengths of…

Q: lberto is considering taking a job with a company where the sequence {$50,000;$50,700;$51,400;…

A: Given sequence is $50,000;  $50,700;  $51,400;  $52,100;  $52,800.... To find the value in the 6th…

Q: Write the arithmetic sequence – 4, – 13, – 22, – 31, .. in the standard form: an

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Q: Consider the following geometric sequence: -15, 60, –240, ... a. Write the recursive formula for…

A: We have given here a Geometric Sequence : -15 , 60 , -240 , .......... Here  a1 = -15 , a2 = 60  and…

Q: For each sequence, determine whether the sequence is arithmetic, geometric, or neither.

A: Given sequence, -300,100,300.......

Q: alculate the missing terms of each arithmetic sequence given below. Each row represents an…

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Q: Write the arithmetic sequence – 14, – 17, – 20, – 23, ... in the standard form: An

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Q: Write the arithmetic sequence – 19, – 23, - 27, – 31, ... in the standard form:

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Q: Give an example of an arithmetic sequence and geometric sequence, each with at least 6 terms

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Q: Determine the general term and recursive formula for the geometric sequence -640, -320,-160

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Q: Write a recursive formula for the sequence: {- 3, 1, 5, 9, 13, ...} o , an 17 aj = -3

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Q: Q4:a\ Use Euler's method and three steps with At = 0.2 for the differential equation y' = 3t- 2y²-2,…

A: We need to use Euler's method to find the solution of the differential equation at the given point.…

Q: Write the first five terms of the sequence defined recursively. a0 = −13, a1 = 13, ak = ak −…

A: given, a0=-13,  a1=13given ak=ak-2+ak-1