POINT Find the formula of the general term an of the sequence: * 3,2.5, 2, 1.5, ..

Q: Write an equation to describe the sequence below. Use n to represent the position of a term in the…

A: If we take an = 2^(n-1) For n = 1 a1 = 2^(1-1) = 1 For n = 2 a2 = 2^(2-1) = 2 For n = 3 a3 = 2^(3-1)…

Q: Write the first five terms of the geometric sequence with the first term, a, = 4, and common ratio,…

A: A geometric sequence is a sequence of numbers that follows a pattern where the next term is found by…

Q: Find the 7th term in the sequence. -1, 2, -4, 8,... Hint: Write a formula to help you. 1st term ·…

A: Given sequence is : -1, 2, -4, 8, . . . . To find the 7th term of the sequence

Q: Find the indicated term of the geometric sequence. -4, 12, -36, ...; a7 a7 = Need Help? Read It…

A: Given geometric sequence is:

Q: Find the missing terms in the arithmetic sequence: ..., - 16.4. * - 7.7, Determine the geometric…

A: We can use concept of sequence and series.

Q: What is the value of a 100 in the arithmetic sequence 2,6, 10,14, .. .? Record your answer and fill…

A: Given arithmetic sequence is : 2,6,10,14,.... To find the value of a100

Q: (1 point) Find a formula for the general term a, of the arithmetic sequence (starting with a1): {4,…

A: a1=4 a2=-2 a3=-8 a4=-11 Note that commond difference d=-6

Q: What is a geometric sequence? Give an example with your explanation.

A: Geometric sequence: Any sequence a1, a2, a3,.... is called geometric sequence if a2a1=a3a2=...…

Q: 2. 2, 6, 10, 14,.. a. What is the first term in the sequence? b. Is the sequence increasing or…

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Q: ctivity: Write answer on your answer sheet. A. Find the specified n term of each arithmetic…

A: # we are entitled to solve three sub parts at a time, please resubmit the other parts if you wish to…

Q: Arithmetic sequence is given by a, = 0 and a15 = 4. What is the sum of the first 15 terms of that…

A: Given,            Arithmetic sequence is given by a5=0 and a15=4.To find : What is the sum of the…

Q: QI. Write out the first four terms of the sequence and determine whether the sequence is converging.…

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Q: An arithmetic sequence is given. Find the common differenc {3n - 8} What is the value of the common…

A: From the given information. The nth term of arithmetic sequence is tn=3n-8.

Q: What is the rule for the geometric sequence? 48, 24, 12, 6, .. n-1 an = 48 2 а, — 48 — 24 (п — 1) |…

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Q: Write the rule of the sequence, then find the 9, 15, 21, 27, 33,... O Rule: 9 + 6( n - 1) 34th term…

A: The formula of The nth term of AP  is an = a + (n – 1) × d Here a=9, n=total number of terms = 34 d=…

Q: Write an expression that gives the requested sum. The sum of the first 14 terms of the geometric…

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Q: What is the rule for the geometric sequence? 64, -32, 16, -8 ...

A: Given : 64, -32, 16, -8 ...

Q: 0,1,4,9_,_,_ pattern: find the sequence

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Q: Can a sequence be both arithmetic and geometric? Givereasons for your answer

A: An equation can either be an identity, a conditional equation or a contradiction depending upon the…

Q: Write the first six terms of the arithmetic sequence with the given properties. 20th term is -47;…

A: First find first term, then add common difference for other term

Q: Must the fifth term of the sequence 2 , 4 , 6 , . . . be 10 ? Explain thoroughly.

A: The nth term of a sequence with 1st term a1 and common difference d is given by,

Q: sequence

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Q: Find the 7th term in the sequence -5, -1, -5, -25, ... | Hint: Write a formula to help you. 1st term…

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Q: What is the common difference of the arithmetic sequence? -1, 2 1,.

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Q: Jia skipping a rock across a pond. The sequence {4.2,3.57, 3.0345, 2.5793,... } describes the height…

A: Explained below

Q: Use the equation editor or upload a picture of your work. Be sure to show all justification. Given…

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Q: Write a rule for the n​ the term of the geometric sequence. Then identify the first six terms of the…

A: Here, we have a1=25Common Ratio=1025=25The nth term of the geometric sequence is given…

Q: Determine if the sequence below is arithmetic or geometric and determine the common difference /…

A: If a sequence is an arithmetic sequence then the difference of any two consecutive term will be…

Q: Predict the general term, or nth term, an, of the sequence. 6, 12, 18, 24, 30, ... an=0 (Simplify…

A: Given sequence: 6, 12, 18, 24,....To find: General term

Q: Write a definition for the ,h term of sequence A. Sequence A term number value 0. 1 4 2 1 4 4 1.

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Q: th Write a formula for the n" term of the geometric sequence. Write your answers as integers or…

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Q: At this point, let us try to measure how smart you are by answering the items below. Let Us Explore!…

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Q: True or False  Let the sequence of number would be; 2, 3, 7, 16, 32. The sixth term would be 57.

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Q: An arithmetic sequence k starts 4, 13, .... Explain how you would calculate the value of the 5,000th…

A: We can find the 5000th term of the given arithmetic sequence as below.

Q: Predict the general term, or nth term, an, of the sequence. - 12, 36, - 108, 324, - 972, ... an…

A: Here we have to find the general term.

Q: What it the common ratio of the geometric sequence -10, 5, -2.50, 1.25, ...? O A-2 ов -2 o C. 2 O D.…

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Q: Find the sum of the arithmetic sequence. 116, 110, 104, 98,.., 50 The sum of the given arithmetic…

A: The arithmetic sequence 116,110,104,98,.....,50. To find: Sum of the arithmetic sequence.

Q: Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic,…

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Q: -5,2,9,16  is the sequence geometric or arithmetic? Explain how you know  write the formula for…

A: Given: A sequence -5, 2, 9, 16 An arithmetic progression is a sequence in which every two…

Q: Question-05 Find E sok2. 100 =5ok?.

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Q: A sequence starts 1,!, ! 2' 4' 8 1. Give a rule that the sequence could follow. 2. Follow your rule…

A: Let the given sequence is  12, 14, 18

Q: > ine Which term of the arithmetic sequence 1, 10, 19, 28, ... is 199? It is the th term. Check…

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Q: Write a formula for the nth term of a sequence (Don't know how to put in the symbols) the sequence…

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Q: Write the first five terms of the sequence defined 3(-1)"+1 by the formula an- n+1 Your answer Find…

A: We know, the nth term of an arithmetic sequence is given by an = a+(n-1)·d where a is the first…

Q: Find the 52nd term of the arithmetic sequence -8, -12, -16, ?

A: a52= -212

Q: Determine whether the sequence is arithmetic, geometric or neither. Select an answer v 0.125, -0.5,…

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Q: DEF - ABC what is the sequence that maps ABC to DEF?

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Q: Determine the number of terms in the arithmetic sequence. The number of terms in the sequence -30,…

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Q: 2. 1, 1,. 1. a. What is the first term in the sequence? b. Is the sequence increasing or decreasing?…

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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.