1 Find the term a, for the geometric sequence with first term, a, = 3, and common ratio, r = 2 az = (Type an integer or a simplified fraction.)

Q: What is the common ratio of the following geometric sequence? 27, 9, 3, 1, .. O 27 6. O 3 O 1/3

A: Remark: The general form of a geometric sequence is a, ar, ar2, ar3, ... where a is the first term…

Q: The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first…

A: Given: In a Geometric series (GS), First term a1=a=8 Fourth term a4=216 To find: Sum of first 12…

Q: 4. What is the 11th term of the geometric sequence {1,000,000; 100,000; 10,000; ...}? O a11 = 0.100…

A: Here we find the 11th term in geometric sequence.

Q: and a, find 9 a, A given Geometric sequence has a, = 12 and a,

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Q: 5. Which geometric sequence has a first term equal to 55 and a common ratio of -5? O {55; 275;…

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Q: 10 and a 6250 Write a rule for the n th term of the geometric sequence for which a, =

A: Given that a2 = - 10 a 6 = - 6250 We know that in a geometric sequence, a1 = a a2 = a.r a6 = a.r5…

Q: 10. Find the tenth term of a geometric sequence with fifth and sixth terms 2, and 3, respectively.

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Q: Write an expression that gives the requested term. The 13th term of the geometric sequence with…

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Q: Geometric reries n-1 E ar k= K=0

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Q: 16 ind the common ratio of a geometric sequence whose third term is and whose fifth term is 3 ?…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: The given sequence is: To find the general formula.

Q: 3 roblem 4. The third term of a geometric sequence is 9, and the common ratio is Find the fifth…

A: Given problem:- The third term of a geometric sequence is 9, and the common ratio is 3/2   Find the…

Q: Let a, denote the nh term of a geometric sequence. Let an = 256 and a+1 = =0.5am Part A Write an…

A: In the geometric sequence, the ratio of the consecutive terms is the same (equal) which know as a…

Q: 3. Given an arithmetic sequence with first term aj and common difference d, the nth term is…

A: Given: An arithmetic sequence with the first term a1 And common difference d For, n⩾2

Q: A geometric sequence has a first term of 8/3 (fraction) and a fourth term of 9.  Find the common…

A: For the given GPfirst term a=83fourth term T4=9 To find the common ratio r

Q: 43 For a given geometric sequence, the 11th term, a₁, is equal to and the 14th term, 9₁4, is equal…

A: Given in a geometric sequence, the 11th term a11=4316 & 14th term a14= -172we know that an=a1.r…

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: Let's find first six terms of the recursive sequence.

Q: Find

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Q: 14. Which explicit formula describes the geometric sequence {, ,7 8T}? 1 1 O an = (3)"-1 O + (n –…

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Q: Find the explicit formula for the general nth term of the geometric sequence described below.…

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Q: Find a formula for the general term an of the geometric sequence (starting with a1):

A: From the given sequence {-6, 18, -54, 162,...} First term of sequence is a1= -6 .

Q: What is the first term of the geometric sequence presented in the table below? n an 176 704 Hint: an…

A: the nth term of geometric series with common ratio r and first term a1 is given as an = a1r(n-1)

Q: Find the fifth term and the nth term of the geometric sequence whose initial term a, and common…

A: The formula to find the nth term of geometric sequence is an=a1·rn-1. where, an is the nth term, a1…

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: The solution of the sequence is :

Q: 7. Find the indicated term of the arithmetic sequence with the description. The twelfth term is 118,…

A: Given: The twelfth term is 118, and the eighth term is 146.  To find: The first term and the nth…

Q: 1. Give the first five terms of the sequence with the given general term. a. a, = 3n+4 %3D b. а,…

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Q: What is a common ratio of the geometric sequence whose first term is 5 and third term is 245? 5 1)7…

A: The geometric series has first term is 5 and the third term is 245   Geometric sequence formula:…

Q: 3) The value of az in a geometric sequence given ba, + a, = 16a, a10 = 62 and all terms are postive,…

A: It's a geometric sequence problem so for better understanding I'm providing hand written solution.

Q: Given an arithmetic sequence with first term a1 and nth term an, the nth partial sum is given by the…

A: Given:

Q: 11. In a geometric sequence, if a2 = 21 and az = 5103, find a and r. Make sure to use the…

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Q: Find the nth term of the geometric sequence with given first term a and common ratio r. a = -5, r=…

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Q: In an arithmetic sequence, a = 19 and a, = 31. Determine a formula for a, the n" term of this…

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Q: 6. Write an nth term (general term) of the geometric sequence that has the given two terms: a. t, =…

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Q: 7. a. Find the general term for the geometric sequence -1, -2, -4, -8, . ... b. Find the 12th term…

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Q: Find the fifth term and the nth term of the geometric sequence whose initial term a, and common…

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Q: with the Find the nth term of the geometric sequence given first term u, and a common ration. What…

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Q: Find the common ratio and write out the first four terms of the geometric sequence 7n+3 6 Common…

A: Common ratio is a2/a1

Q: 10 of 10 Question 10 Review 1) Listen What is the common ratio of the geometric sequence shown…

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Q: 1. Find the first 11 terms of an arithmetic sequence in which the third term is 10 and the eleventh…

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Q: What is the first term of the geometric sequence presented in the table below? 7 an 176 704 Hint: an…

A: Given query is to find the first term of the sequence.

Q: Find the general term un for an arithmetic sequence with: a) seventh term 1 and fifteenth term -39

A: Seventh term is 1, fifteenth term is -39

Q: 1) A drive-in theater has spaces for 20 cars in the first parking row, 22 in the second, so on. If…

A: Authoring guidelines:…

Q: Find the common ratio and write out the first four terms of the geometric sequence (1.03)" n-1…

A: The nth term of the geometric sequence is given by an = 1.03n-1…

Q: An arithmetic sequence is given below. 20, 15, 10, 5, ... Write an explicit formula for the n th…

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Q: 1 Graph the first five terms of the geometric sequence: a,

A: Given : For a geometric sequence  First term a1 = 12 And common ratio r = 2   To find : First five…

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: Given sequence 6,13,20,27,34,.... First term of the sequence is  a1=6 Common difference  d=an-an-1…

Q: 1. When is a list of numbers called a geometric sequence ? 2. In what ways can you express a…

A: This problems are related to sequence and series.

Q: ind a formula for the general term an of the sequence, assuming that the patte begins with 1.) {-3,…

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Q: 7. Let a1, a2, a3, ... be a geometric sequence with initial term a and common ratio r. Show that af,…

A: Given that a1, a2, a3, ⋯ be a geometric sequence with initial term a and common ratio r. That is,…

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.