10 of 10 Question 10 Review 1) Listen What is the common ratio of the geometric sequence shown below? -2, 4, -8, 16, ... 1. 2. 2 3. -2 4. -6

Q: If the first term a, and common difference d of an arithmetic sequence are 3 and 4 respectively then…

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Q: Question 30 7 and 20 respectively. What The 4th and 7th terms of a geometric sequence are is the sum…

A: Given 4th term of a geometric sequence is 127and the 7th term of a geometric sequence is 1729. We…

Q: 1. A series of sequence that repeats is known as * a. design b. pattern c. repetition d. art

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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: In geometric sequence the common ratio is denoted by RO

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Q: Question 19 |12 and r = V2. What is the In a geometric sequence, a1 = approximate sum of the first…

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Q: a1, a2, a3, . be a geometric seq is also a geometric sequence by that af, a3, až, (a) Σ (1- ). (Φ)…

A: Given ∑n=15(1-n2)

Q: QUESTION 4 What is the sequence depicted by the generating series 3 + 15x2 + 10x3 + 25x5 + 16x6+...?

A: Given generating series is 3+15x2+10x3+25x5+16x6+...                       (1) Comparing with the…

Q: The sequence given by a, = ar"- is a geometric sequence in which a is the first term and r is the So…

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Q: Find a, and r for a geometric sequence (a,) from the given information. 47 az = 47 and a, 8 a, = r =

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: SKETCHPAD Question 26 What are the first 5 terms of the sequence represented by "n a =2n – 3a 'n -…

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Q: Question No : 18 of 26 Let a,,a,a,a, be an arithmetic sequence, then su Answer (Please select your…

A: We want to find true option.

Q: 3, 7, 11, 15... Answer the following questions (part a in this problem and part b in the next) in…

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Q: How would you classify the sequence 28,21, 15, 10, 6, ... .? ...... A. Arithmetic Series B.…

A: Difference between terms is equal So this is arithmetic series.  Option A is correct

Q: 18. Find a, andr for a geometric sequence if az = 18 and a, formulas.) 144. (Make sure to use the…

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Q: Question 9 Write a rule for the nth term of the arithmetic sequence. a 16 = 69, a 19 = 81 %3D O a, =…

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Q: The first three terms of an arithmetic sequence are as follows. 31, 24, 17 Find the next two terms…

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Q: QUESTION 3 What is the probability that a 10-digit ternary sequence (0, 1, 2) has exactly three 0's?

A: Total number of ways a 10 digit sequence can be made using the numbers 0,1,2 = 310  Now, if the…

Q: (b) Consider the following statement: There is a triangle that is not equilateral whose side lengths…

A: (b) Such triangle is not possible

Q: Question 3 Find the eleventh term of the given geometric sequence: -1, 2, -4, 8, .......... The…

A: We know that if the first term of a geometric sequence is a and common ratio is r ,then the n-th…

Q: Example 1: Find the first five terms of the sequence where an = n2 – 3 %3D

A: Given :            To find the first five term of the sequence,  an = n2 - 3 The first five terms…

Q: Question 4 Which one of the following sequences is a geometric progression? O 3,6,12.24,48,. O…

A: The general form of a Geometric Progression is a1,  a1r,  a1r², a1r³, ………, a1rn-1,  a1 rn We get the…

Q: Find the nth term of the given sequence, where n= 1,2,3... 1/5, 4/9, 9/13, 16/17...

A: The given sequence is 15, 49, 913, 1617,⋯ Here numerators of the fractions are 1, 4, 9, 16 which are…

Q: Question 2   What will be the sequence generated by the generating function 3x/(1-x)2?   9, 12,…

A: The given function is fx=3x1-x2. We have to find the sequence generated by the generating function…

Q: Question 23 Study the number sequence below. 16, 19, 24, 31, ... What is the seventh term in the…

A: 16,19 then 19-16=3 19,24 then 24-19=5 24,31 then 31-24=7 Notice that the difference between two…

Q: A geometric sequence starting with 6 is given by xn+1 =Xn. Find the 5th term in the 3 sequence.

A: Given that the geometric sequence with first term is 6 x1 = a = 6 Given :- xn+1 = 13xn put n = 1 x2…

Q: Question 13 Develop your own geometric sequence starting with a term of 3. 1. Identify a common…

A: topic - geometric progression

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: SKETCHPAD Question 9 What is the general formula for the nth term of the sequence 0, 1, 4, 9, 16,…

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Q: Find the common ratio and write out the first four terms of the geometric sequence 4n-2 3 (Round any…

A: As per our guideline if multiple questions are posted we are supposed to  answer only the first one.…

Q: 1. Find the 30th term of the 1 1 harmonic sequence ;, ,0, –? - 4'2'

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Q: 1. - Determine whether the sequence is arithmetic, geometric, or neither. 1 1 1 1 2'3'7'5'* 2.…

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Q: 8. The graph of a certain geometric sequence can be described as a curve Increasing from left to…

A: Since option b and D are in decreasing way so they can not be possible because question says about…

Q: Question 7 What is the sum of the first 9 terms of the sequence -4, 12, -36, 108...? A -39,364…

A: To determine the sum of the first 9 terms of the sequence -4, 12, -36, 108...

Q: Question 7 Find the nth term of the geometric sequence whose initial term is ai = 7.5 and common…

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Q: 1. The first term of an arithmetic sequence is equal to 200 and the common difference is equal to…

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Q: Question No : 18 of 26 Let a, a, a,,a, be an arithmetic sequence, then sum of the terms of sequence…

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Q: Question 1 5 and an 2an-1 - 3 when n > 2. What is a4? Let (an) be the sequence defined by a1

A: Please check step 2 for the solution.

Q: Question 2 What is the 10th element in the following sequence? The first element is 8. 8,11,14,17,.

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Q: Evaluate each infinite geometric series described. 3 10 3 20 40

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Q: 8. The graph of a certain geometric sequence can be described as a curve increasing from left to…

A: The graph in option (a) has a similar graph as of geometrical sequence Since in part a 1, 4,16, 64,…

Q: SKETCHPAD Question 8 a =(-1)²"(n – 10), What is the 9th term of the sequence Show your work Note: If…

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Q: Question 8 What is the tenth term of the given geometric sequence: -I,4, - 16, 64, ...? A -1.048,576…

A: topic - geometric progression

Q: %3D Question 6 If the sequence if geometric, match it to its correct explicit formula, an If it not…

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Q: 8.1.4 Write out the terms a_1,a_2,.....,a_6 of the given sequence. a_(n)=3/((n)+4) Is this right?…

A: Given:The general term of the sequence is

Q: Evaluate each geometric series described.

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Q: A test question lists the first four terms of a sequence as 2, 4, 6, and 8 and asks for the fifth…

A: Given sequence is: 2,4,6,8, Here we observe that: 4-2=26-4=28-6=2 Thus, we observe that each…

Q: Given the geometric sequence: 25, 6.25, 1.5625, ... Find an explicit formula for an. an = Find as =…

A: The given geometric sequence is: 25,  6.25,  1.5625,  ....

Q: 1. How many terms of the arithmetic series 2,8,14,20,... are required to give a sum of 660?

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Q: If 5, 25 are two adjacent terms in a geometric sequence ( in that order), then the next term is

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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.