Geometric sequences and series pdf
[DOC File]Section 4
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3) Write the geometric series 3 + 6 + 12 + … + 96 in sigma notation and find its sum. 3) Write the geometric series 1 + 4 + 16 + … + 4096 in sigma notation and find its sum. 4) Give the sum . Geometric Series Practice Worksheet 1. Name Period # Examine the geometric sequence 2, 6, 18, … for questions 1 …
[DOC File]Arithmetic and Geometric Sequences
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2, 6, 18, 54, … This is an increasing geometric sequence with a common ratio of 3. 1,000, 200, 40, 8, … This is a decreasing geometric sequence with a common ratio or 0.2 or . Geometric sequences can also be recursive or explicit. Remember recursive means you need the previous term and the common ratio to get the next term.
[DOC File]Arithmetic Sequences
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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 constant. The existence of a common difference is the characteristic feature of an arithmetic sequence.
Mathematics Advanced Year 12 Sample Unit Financial …
The teacher introduces the notion of classifying sequences and series according to their generating pattern. Specifically, sequences and series that are generated through additive processes are classified as arithmetic and those generated through multiplicative processes are classified as geometric.. With teacher assistance as necessary, the class explores a variety of arithmetic sequences and ...
[DOC File]Sequences and series Worksheet 7 - Jacaranda
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WorkSHEET 9.1 Sequences and series Name: _____ Determine the first 3 terms of the sequence. tn = 2n(6, n{1, 2, 3, …}. The first 3 terms are (4, (2, and 0. 3 Show that the sequence tn:{(0.9, (0.7, (0.5, …} is an arithmetic sequence. (Common difference = 0.2. Thus, it is an arithmetic sequence. ...
[DOCX File]Deer Valley Unified School District / Homepage
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GUIDED NOTES – Lesson 8-4. Geometric Sequences & Series Name: _____ Period: ___ STANDARD: (F-BF.2) Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.
[DOC File]Fun with Sequences
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Lesson 8-4: Working with Arithmetic and Geometric Sequences Mixed. Do Now: Regents Question: If a sequence is defined recursively by f(0) = 2 and f(n+1) = -2f(n)+3 for n ≥0, then f(2) is equal to. 2) 3) A) Find the fourth term of the sequence B) Write the first five terms of the sequence: C)
[DOC File]Sequences and Series**
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Geometric Series. A geometric series is written in the form . We can use notation to write this in a short form, . This series converges if and diverges if . Definition of a Power Series. An expression in the form , which expands as . is a power series centered at . This is known as a Maclaurin Series. An expression in the form , which expands as
[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]MATHEMATICS
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Sequence and Series. i. Define the arithmetic, harmonic and geometric sequences and series. ii. Find the general term of given arithmetic, harmonic and geometric sequences. iii. Find the sum of first n terms of given arithmetic and geometric series. iv. Find A , H & G and know that : a. A >G >H. b. AH= G2
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