Arithmetic sequences examples and answers
[DOC File]Arithmetic Sequences
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An arithmetic sequence can be represented by a1, a1 +d, a1 + 2d, …. In the sequence 2, 5, 8, ….. the common difference is 3. The sequences 1, 3, 5, 7, ….. and 2, 8, 14, 20, ….. are examples of arithmetic sequences. Each has the property that the difference between any two immediate successive terms is …
[DOC File]WORKSHEET: Arithmetic Sequence & Series Word Problems
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ARITHMETIC SEQUENCES & SERIES WORKSHEET. The . general term of an arithmetic sequence. is given by the formula . an = a1 + (n - 1)d. where . a1. is the . first term. in the sequence and . d. is the . common difference. Finding the sum of a given arithmetic sequence: 1. Identify a1, n, and d for the sequence. 2. Find an using an = a1 + (n - 1)d ...
[DOCX File]Mathematics Sample Program: Year 1
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Students represent multiplication and division by grouping into sets and divide collections and shapes into halves, quarters and eighths. They recognise increasing and decreasing number sequences involving 2s, 3s, 5s and 10s, identify the missing element in a number sequence, and use digital technology to produce sequences by constant addition.
[DOC File]Lesson Title - Virginia
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Reporting Category Expressions and Operations. Topic. Exploring sequences and series. Primary SOL AII.2 The student will investigate and apply the properties of arithmetic and geometric sequences and series to solve real-world problems, including writing the first n terms, finding the nth term, and evaluating summation formulas.
[DOCX File]Step 1 Lesson Plan
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-Identify and describe geometric and arithmetic sequences.-Calculate arithmetic and geometric means. We will be asking them to do example problems in pairs 2, and we will be checking their answers and reasoning. We will also give a post-test after each day to check their understanding.
[DOC File]Arithmetic and Geometric Sequences
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This is an increasing arithmetic sequence with a common difference of 3. 32, 26, 20, 14, 8, … This is a decreasing arithmetic sequence with a common difference of –6. If asked to extend either of these patterns (the next 3 terms), you need to know the last term and then you can go on from there. These are examples of . recursive sequences ...
[DOC File]Day 2: Sequences
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Wed. How confident am I arithmetic sequences and series? Review Sheet (WS#7) Oct. 6. Thurs. What I have learned this unit? TEST Standards: Explore arithmetic series and various ways of computing their sums. Explore sequences of partial sums of arithmetic series as examples of . quadratic functions. Arithmetic Sequences Worksheet #1 Name ...
[DOC File]Arithmetic Sequences - St. Francis Preparatory School
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An arithmetic sequence can be represented by a1, a1 +d, a1 + 2d, …. In the sequence 2, 5, 8, ….. the common difference is 3. The sequences 1, 3, 5, 7, ….. and 2, 8, 14, 20, ….. are examples of arithmetic sequences. Each has the property that the difference between any two immediate successive terms is …
[DOC File]ARITHMETIC AND GEOMETRIC SEQUENCE WORD PROBLEM …
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ARITHMETIC AND GEOMETRIC SEQUENCE WORD PROBLEM EXAMPLES. A recovering heart attack patient is told to get on a regular walking program. The patient is told to walk a distance of 5 km the first week, 8 km the second week, 11 km the third week and so on for a period of 10 weeks.
[DOC File]Standard Graphs Worksheet
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Arithmetic Sequences. If you begin your sequence with a given number and then add a fixed number to each succeeding term, then you’ve made an arithmetic sequence. These sequences are generally written as (a, d). The pattern is: a is given as the first term and d will be what is added to each succeeding term: a, a + d, a + 2d, a + 3d, a + 4d, …
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