Students seemed to understand the notes very easily. Formatted for back-to-back printing with page numbers.2 pages of additional practice (13 problems).CONTAINS 2 FORMATS: ONE WITH A BLACK STRIP AND AN INK SAVING WHITE STRIP.These guided notes work great as an introduction, reinforcement or review of the material. Also talks about arithmetic sequences as a linear graph. Discusses using the explicit formula as well as the recursive formula. How much will you have left to pay on the camcorder at the beginning of the twelfth month?Ģ1 Write a recursive rule for the total amount of money paid on the camcorder at the beginning of the nth month.Ģ2 How much will you have left to pay on the camcorder at the beginning of the twelfth month?Īt the beginning of the twelfth month, you would still own $75.These arithmetic sequences notes focus on defining arithmetic sequences and determining the common difference and higher terms. These arithmetic sequences notes focus on defining arithmetic sequences and determining the common difference and higher terms. Write a recursive rule for the total amount of money paid on the camcorder at the beginning of the nth month. Given the first term and the common difference of an arithmetic sequence find the recursive formula and the three terms in the sequence after the last one. How close to the front can they sit? The class can sit in the 11th row.Ģ0 Suppose you buy a $500 camcorder on layaway by making a down payment of $150 and then paying $25 per month. Thirty-five students from a class want to sit in the same row. How close to the front can they sit?ġ8 Write the sequence as an explicit rule modeling the number of seats in the nth role.ġst row has 25 seats fixed difference from one row to the next is one additional seat (front to back)ġ9 Thirty-five students from a class want to sit in the same row Thirty-five students from a class want to sit in the same row. 2 Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms. An explicit formula uses the position of a term to give the value of that term in the sequence recursive formula uses the previous terms to get to the next term. ![]() Write the sequence as an explicit rule modeling the number of seats in the nth role. Evaluate the sequence for the given nth term.ġ7 The first row of a concert hall has 25 seats, and each row after the first has one more seat than the row before it. Rewrite the sequence as an explicit and recursive rule. ![]() 5, 6, 17, 28 Enter the term in Ll qnd the sequ ce values in L2. Example 2 Write a recursive and explicit equation for the arithmetic sequence and find the 21st term. al + (n l)d Find the 16th term in each arithmetic sequence (use the explicit equation). In the given series, the first term is a 1 and the common. Write an explicit formula for the any term in each arithmetic sequence. ![]() Evaluate the sequence for the 9th term in the sequence. Find n, using the explicit formula for an arithmetic sequence. Then write a rule for the nth term of the sequence for each “YES” example below. Only watch a portion of this video (0:00 – 4:20) review/v/arithmetic-sequencesĭecide whether each sequence is arithmetic.ĩ Sage & scribe activity Turn to your partner and explain the reasoning to each answer. Can you construct linear function that models the information from the first solution? The functions should allow you to find the nth term of the sequence.Ħ How to define an explicit and recursive formula for an arithmetic sequence What is the difference between any two consecutive terms in the first and second solution? Describe the difference in the mathematical approach used to find the solution of each question. How much will you be earning in the 8th year? How much will you earn over the 8-year period?Ĥ How much will you be earning in the 8th year? ![]() You anticipate receiving a $1500 raise each year for the next 7 years. F-IF.A.3: I recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of integers.ģ exploration You have been offered a job paying $28,000 in the first year. F-BF.A.2: I can construct linear functions given a description of a relationship or two input-output pairs. 4: I can rearrange formulas to highlight a quantity of interestĪ-CED.4: I can rearrange formulas to highlight a quantity of interest. Presentation on theme: "arithmetic sequences & explicit and Recursive formulas unit 1 day 16"- Presentation transcript:ġ arithmetic sequences & explicit and Recursive formulas unit 1 day 16Ģ A-CED.
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