If the 10th term of a geometric sequence is 243 times larger than the 5th term, then what is the common ratio of the sequence? a) 4 b) 3 c) 2 d) 5

Q: Predict the general term, or nth term, an, for the sequence. 1 2 3 4 5 - - 5'6'7' 8' 9 an %3D II

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Q: In geometric sequence a1, a2,, an, if az 720 and a5 25920, then the common ratio is %D O 36 O 5 O…

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Q: Assume that the pattern shown by the square tiles in the ff figures continues: a. What is the nth…

A: Analysing the figures it can be seen that all figures are formed by big square and a column…

Q: For the sequence 1, 4, 7, 10, .. . its nth term is

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Q: Consider the sequence c= {3, –12, 48, – 192, 768, ..} - | a. What is the common ratio? b. What are…

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Q: F21 - 5F, = %3D (4F, + F,, )/2 = (3F,3)/6 = %3D

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Q: Give the common ratio of the * sequence 10, 2, 2/5 , .... O 1/ 5 O 5 O -5 O - 1/ 5

A: common ratio is the ratio of particular term to previous term.

Q: For a sequence with a first term of 5 and a common ratio of 4, what is the 11th term?

A: For the given sequence,  First term, a = 5 Common ratio, r = 4 11th term, a11 = ? So, n = 7

Q: Consider the following sequence of towers of unit cubes. How many unit cubes are there in the nth…

A: First we will count the number of cubes in all the four diagrams. In Diagram 1: 1 cube In Diagram…

Q: Find next three term Of the Fallaung Ficonecci sequence 5 1 12 43 3.1

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Q: Given the geometric sequence: 35 az = 3 245 a1 = 5, a2 = 9. find a formula for the nth term: an =

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Q: What is the sum of the 8 terms in a geometric sequence if the first term is 4 and the common ratio…

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Q: Show that the given sequence is geometric, and find the common ratio.

A: The given sequence is, 17,37,97,…,173n-1,… Here, sn=173n-1 The objective is to show that the given…

Q: (a) What is the nth-term formula for the number of tiles in the nth figure of the sequence? (b) How…

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Q: Consider an infinite sequence of circles as in the diagram. What is the sum of the areas of all…

A: This is a problem on infinite geometric progression which is solved as shown below.

Q: Let the sequence be defined by the formula an=5n−3. For what value of n is an=97

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Q: Draw the missing figure on the sequence below and provide solution/explanation:

A: The pattern in a sequence of images determines the nature of the next image. The shapes, angles etc.…

Q: Find the 70th term of the following arithmeti c sequence. 4, 11, 18, 25

A: First term of the A.P. is 4 Common difference, means the difference between two consecutive terms is…

Q: Find a closed formula in terms of n for the sequence an described by ao = 4, and a, = 5a, –1+ 3 for…

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Q: In geometric sequence a1, a2, · · · , an , if a4 = 405 and ag = 3645, then the common ratio is 4 O 3…

A: To find the common ratio

Q: Given a and b, suppose that three numbers are inserted between them so that the five numbers form a…

A: If the product of the three inserted number between a and b is 27  This product is the cube of the…

Q: The table below identifies the values for the first 5 terms in an arithmetic sequence. 1. Term…

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Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 2, 4, 8,

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Q: What is the nth-term formula for the number of tiles in the nth figure of the sequence?

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Q: Assume that the pattern shown by the squares tiles in the following figure continues. a) What is the…

A: We will find nth terms using pattern given

Q: Given the geometric sequence: 28 112 ao = 7, a1 = , a2 find a formula for the n-th term: an

A: Explanation of the answer is as follows

Q: 1. determine the nth term formula for the number of square tiles in the nth term figure. 2. how…

A: Given number of square tiles in first, second, third, fourth and fifth figure are 5, 8, 11, 14, 17…

Q: In geometric sequence a1, a2, , an , if a5 3328 and a7 53248, then the common ratio is %3D 3 O 4 O…

A: In the GP Find the common ratio of. The GP Fifth and seventh term are given

Q: In geometric sequence a1, a2, · · , an , if az 1421 and a5 69629, then the common ratio is

A: Given,          In geometric sequence a1,a2,....,an if a3=1421 and a5=69629.We know that,…

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 4 2, 5'…

A: First I have written a short note about geometric sequence, just use that note for given geometric…

Q: Given that the first term of an arithmetic sequence is 50 and the common difference is -5, what is…

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Q: As which term does appear in the sequence 81, 27,9...? a. 5th b. 11th 8th с. d. 15th е. 12th

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Q: You were given the sequence 14, 238, 4046, … a) Prove that the sequence is a geometric sequence and…

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Q: In geometric sequence a1, a2, •• • , An , a3 = 1792 and ag = 114688, then the common ratio is 7 9.…

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Q: In geometric sequence a1, a2, · ·… · , an , if az = 686 and ag = 33614, then the common ratio is O…

A: Given a1,a2,a3…,an is geometric sequence.  To find the common ratio if a3=686 and a5=33614.…

Q: What is the nth-term formula for the number of tiles in the nth figure of the sequence? a4 az a2 a1

A: Given, Number of tiles in a1 = 4 Number of tiles in a2=8 Number of tiles in a3=14 Number of tiles in…

Q: In geometric sequence a1, a2, · -, an , if az = 416 and a5 6656, then the common ratio is O 64 O 4 O…

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Q: Given the sum of the first 6 terms of a geometric sequence is 27,342 and the common ratio is 5,…

A: Sum of first 6 terms of a geometric sequence is 27342 and common ratio is 5 we have to determine the…

Q: Consider an infinite sequence of circles as in the diagram. What is the sum of the areas of all…

A: To find: The sum of areas of the circle: Formula used: Area of the circle is  A=πr2 The sum of…

Q: What is the formula for the sequence 0, 1/pi1/2, 4/pi1/3, 9/pi1/4 starting with the term n=1?

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Q: Assume that the pattern shown by the square tiles in the following figure continues. a. What is the…

A: The appropriate term of the figure is to be identified by obtaining an appropriate order of sequence…

Q: Calculate how many different sequences can be formed using all the letters in ARKANSAS? The number…

A: In ARKANSAS there are  number of As=3 number of Rs=1 number of Ks=1 number of Ns=1 number of Ss=2…

Q: find the speafied geometric sequence. 9, = 20, a term of the 135 %3D %3D 16 a3=?

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Q: Provide a simple formula or rule that generates the terms of an integer sequence 2, 16, 54, 128,…

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Q: Use the approach in Gauss's Problem to find the sum of the arithmetic sequence: 6+12+18+...+600

A: We Help of the Gauss's Problem to find The sum of the arithmetic sequence.

Q: In the sequence {1,5,9,13,17,} which term is a3?

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Q: Given the geometeric sequence 8, 6/1, 9/2 find an explicit formula for an

A: Let's call the i-th term of the sequence as ai.We have a1 = 8a2 = 6and a3 = 9/2

Q: The general term of the Fibonacci sequence is: A) F, = V5 A-V6((노)"- (보)") B C ()" - (→4)") D

A: given,