Geometric sequence and series quiz
[PDF File]PM12 - Geometric Series Practice Exam
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The perimeter of the squares also forms a geometric sequence. The perimeter of S6 is, to the nearest tenth, A. 22 B. 42 C. 6 D. 82 The areas of consecutive squares form a geometric sequence with a common ratio of _____. 4. Numerical Response Principles of Math 12 - Geometric Series Practice Exam 9 www.math12.com
[PDF File]Sequences/Series Test Practice Date Period
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Evaluate each infinite geometric series described. 25) ... Given the first term and the common ratio of a geometric sequence find the term named in the problem. 9) a 1 = −2, r = −3 Find a 12 10) a 1 = 2, r = −2 Find a 12 Find the missing term or terms in each geometric sequence.
[PDF File]Notes: Geometric Sequences
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Lesson Quiz: Part I Find the next three terms in each geometric sequence. 1. 3, 15, 75, 375,… 2. 3. The first term of a geometric sequence is 300 and the common ratio is 0.6. What is the 7th term of the sequence? 13.9968 4. What is the 15th term of the sequence 4, –8, 16, –32, 64, …? 1875; 9375; 46,875 65,536
[PDF File]Sequences & Series Quiz Review - Weebly
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In a geometric sequence, if a1 = −2 and r = 4, find a6. GEOMETRIC SEQUENCE RULE ( ) 1 1 = • n− a n a r. Title: Microsoft Word - Sequences & Series Quiz Review.docx Author: Kristina Created Date:
[PDF File]Sequences and Series Practice for Test - Mr. C. Miller
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Precalculus Sequences & Series Test Practice Name_____ Sequence Formulas: a n = a 1 + d (n – 1) 1 1 n a a r n Series Formulas : 1 (1 ) 1 n n ar S r Determine if the sequence is arithmetic or geometric. Find the common difference or the common ratio and write the equation for the nth term. 1) 35, 32, 29, 26, …
[PDF File]ARITHMETIC AND GEOMETRIC SEQUENCE WORD PROBLEM EXAMPLES
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what will his quiz grade be after the 8th quiz? Will he still be on the team? a. Is the sequence arithmetic or geometric? Explain your answer. b. Write out the sequence using blanks where appropriate. c. Write an explicit formula for the sequence. d. What can he expect to get on his 8th quiz? Show all work. e. Write your final answer as a sentence.
[PDF File]Calculus BC and BCD Drill on Sequences and Series!!!
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Geometric series are of the form: ∑a(r)n A geometric series only converges if r is between -1 and 1 The sum of a convergent geometric series is: r the first term − ⋅ ⋅ 1 See the next slide for a possible answer as to why these series are called “geometric”
[PDF File]6.7 Geometric Sequences - Big Ideas Learning
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Geometric Sequence In a geometric sequence, the ratio between consecutive terms is the same. This ratio is called the common ratio. Each term is found by multiplying the previous term by the common ratio. 1, 5, 25, 125, . . . Terms of a geometric sequence × 5 × 5 × 5 Common ratio Exercises 11–16 EXAMPLE 1 Extending a Geometric Sequence
[PDF File]Unit 6 Arithmetic and Geometric Sequences Quiz Review
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The sixth term of an arithmetic sequence is 24. The common difference is 8. (a) Calculate the seventh term of the sequence. (b) Write the nth term of the sequence. (c) Which term of the sequence is 336. 5. A geometric sequence has all its terms positive. The third term is 4 and the fifth term is 16. (a) Find the common ratio.
[PDF File]Arithmetic and Geometric Sequences and Series; Expressions ...
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infinite series, geometric sequence, geometric series (AII.2) Student/Teacher Actions (what students and teachers should be doing to facilitate learning) DAYS 1 AND 2 1. Teach the basics of arithmetic and geometric sequences and series, making sure students
[PDF File]7. Geometric Sequences and Series - Mathster
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10) The common ratio of a geometric sequence is 3 and the sum of the first five terms is 968. Find the value of the first term. [1] 11) Find the sum to infinity of the following geometric series 1029 − 147 + 21 − 3 + ... [1] 12) Find the common ratio of a geometric series with a first term of 38 and a sum to infinity of 76. [1] a) 729 − ...
[PDF File]Geometric Sequences Date Period
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Given the first term and the common ratio of a geometric sequence find the first five terms and the explicit formula. 15) a 1 = 0.8 , r = −5 16) a 1 = 1, r = 2 Given the first term and the common ratio of a geometric sequence find the recursive formula and the three terms in the sequence after the last one given. 17) a 1 = −4, r = 6 18) a 1 ...
[PDF File]Sequences worksheet 1
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3) Find the designated sum of the geometric series a)!! of 4+8+16+32+⋯ b)! of 1−6+36−216+⋯ c)! of 486+162+54+18+⋯ d)!! of 3+15+75+375+⋯ 4) Determine !! for each geometric series a)!=6, !=2, !=9 b)!1=2, !=−2, !=12 c)!1=729, !=−3, !=15 d)!1=2700, !=10, !=8 5) If the first term of an arithmetic series is 2, the last term is 20, and the increase constant is +2 …
[PDF File]Geometric Sequences and Series Date Period
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Given the explicit formula for a geometric sequence find the common ratio, the term named in the problem, and the recursive formula. 5) a n ( ) n Find a 6) a n ( )n Find a Given two terms in a geometric sequence find the common ratio, the explicit formula, and the recursive formula. 7) a
[PDF File]DIRECTIONS Part I Answer all questions in this part. Each ...
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8. Find the sum of the n terms of the arithmetic series: 10 2.5 10 50 n d a 9. Find the sum of the geometric series 128 – 64 + 32 - … to 8 terms. 10. The third term of an arithmetic sequence is 15, and the seventh term is 23. Determine a formula for , the term of this sequence.
[PDF File]Quiz on Sequence & Series
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Quiz on Sequence & Series. GOUTHAM SANKEERTH Maths Experience: 6 years ... 6 Special Series 10 ... Also, let b 1, b 2, b 3, ….. be a sequence of positive integers in geometric progression with common ratio 2. If a 1 = b 1 = c, then the number of all possible values of c, for which the equality 2(a 1 + a
[PDF File]Algebra 2 - Sequences & Series - Practice Quiz 2 ...
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Practice Quiz - Arithmetic and Geometric Sequences Date_____ For each sequence, state if it is arithmetic, geometric, or neither. ... Given the first term and the common ratio of a geometric sequence find the 8th term and the explicit ... Sequences & Series - Practice Quiz 2 - Arithmetic and Geometric Sequences
[PDF File]8.3 Analyzing Geometric Sequences and Series
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428 Chapter 8 Sequences and Series Writing a Rule Given Two Terms Two terms of a geometric sequence are a 2 = 12 and a 5 = −768. Write a rule for the nth term. SOLUTION Step 1 Write a system of equations using a n = a 1r n − 1.Substitute 2 for n to write Equation 1. Substitute 5 for n to write Equation 2. a
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