7) Given the geometric sequence 25x°y", 15x°ylº, 9xy13, ... the common ratio is C) 0. 6x?y³ and the fifth term is A lyl6 Bxy19 243 C) 125 X

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

A:

Q: A pentagonal fractal pattern has the sequence (1, 5, 25, 125,...). The explicit formu O a Ob Oc Od…

A: given sequence  1, 5, 25, 125, ... we know nth term of a geometric progression is an=arn-1 where a…

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: The third term in the sequence with a=4 and a = a + 3n wheren>1 is %3D O 22 0 4 O 13 O 10 O 19

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Q: Consider the sequence: 6, 2, Vhat is the equation for the general term of this

A: In this question we will use basic of algebra i.e concept of geometric progression. First we will…

Q: The first term a, of a geometric sequence is 20 and the common ratio r is 5, find the fifth term a,…

A:

Q: Each successive figure below is made of small triangles like the first one in the sequence.…

A: Given that Each successive figure  is made of small triangles like the first figure is an…

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: sin(4n) Given the sequence an n? + 3

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Q: In a certain geometric sequence, the eighth term is 100 and the common ratio is -(3/2). Find the…

A: Let the first term be a so the sequence will be a, ar, ar2, ar3 ....... The eighth term is 100…

Q: 2) In in an auithametic t,= 6 and to =16, sequence %3D Find tas.

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

A: Explanation: A geometric progression is a sequence of non-zero terms in which ratio of any term and…

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

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Q: What would be the nth term formula for the number of tiles in the nth figure of the sequence? -How…

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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: 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: 1 1/4 1/8 1/2 ii 1 -1 A) 1/2 В) 1 C) 1/4 D) 3/2

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Q: The sixth term of a geometric sequence is 1215 and the third term is 45. Find the first term and the…

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Q: Test Information Descrption You have 1 attempt to complete this lab asignment. You don't have to…

A: We are entitled to solve only one question at a time. Please post other questions separately. Given…

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: 4. What is the sum of all the interior angles (in degrees) of a hexagon? [use the polygon sum…

A: To find the sum of all interior angles of a hexagon.

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: For the given geonietric sequence, find the su n of the first: 1. 5 terms of 4, 12, 36, 108, ...

A: As per guideline we have to solve one question

Q: Find a formula for the general term ɑn of the sequence assuming the pattern of the first few te con…

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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: The first term and a recursive formula for a geometne Sequence are given. Find ag

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Q: find the nth term of-the arthmetic sequencec with comenondifferen ce dewhnal is the loth term…

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Q: Find the next term of sequence 7/2, 19/2, 31/2, 43/2 and 55/2. Show complete solution and following…

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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: if the pattern continues, what will be the next term in te sequence 4, 1, -2, -5?

A: Given4,1,-2,-5

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

A:

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: Given the figure below, answer the following questions: as a. Determine the nth term formula for the…

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Q: 1. Given that the n term, T T, = 2n + 5, find %3D (i) the 5th term, (ii) the 8th term, (iii) the…

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Q: 3. Look for a pattern in the sequence of figures shown below. How many triangles are needed for the…

A: First figure : 2 triangles 2nd figure : 6 triangles3rd figure : 10 triangles

Q: Given two terms in a geometric sequence find the term named in the problem and the explicit formula.

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Q: Refer to the image to identify the following: -What is the nth-term formula for the number of tiles…

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Q: dentify the sequence as geometric ór arithmetič. (r, = 11000 Im = 0.7rn-1

A: We can check the series as below by definition of geometric series

Q: The general term of sequence I,Ź stanting by n =D0 is

A: By taking limit from n=0 to 3

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: 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?

A:

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

A: given,

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.