Example 3: Find the general term of the arithmetic sequence 6, 2, -2, –6,...

Q: Find the common difference and the sum of the first 5 terms of the arithmetic sequence. an = 5n – 2

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Q: 1. Explain the difference between the following terms. Provide an example of each type of sequence.…

A: "Since you have posted multiple questions, so we will solve only the first question for you."…

Q: Find the indicated term of the geometric sequence. 2,6, 18, ...; a7

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Q: Find a formula for the nth term of the arithmetic sequence. First term 1.7 Common difference 0.5

A: Find a formula for the nth term of the arithmetic sequence. First term 1.7 Common difference 0.5

Q: An arithmetic sequence is defined as consecutive terms that have a common difference. O True O False

A: NOTE: Refresh your page if you can't see any equations. . the nth term of the arithmetic sequence is…

Q: An arithmetic sequence is a sequence in which each term after the first differs from the preceding…

A: Given That: Definition of Arithmetic sequence.

Q: Which of the following sequence is an example of a geometric sequence? * O 2, 4, 8, 16, . O -20,…

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Q: 6. Find the 15th term of the arithmetic sequence whose common difference isd = -5 and whose first…

A: Given: Common difference ,d = -5 and the first term of the arithmetic sequence  is a1= 10 To find:…

Q: 1. Find the first five terms of the geometric sequence for which a1 3 and r = -2. %3D

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Q: If the general term of an arithmetic sequence is :- 1 2n. T(n) = %3D then the

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Q: Find for the 15th term of an arithmetic sequence 3, 6, 9, 12,

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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: 1. How are arithmetic and geometric sequences similar? 2. How are they different?

A: 1. The similarities between arithmetic and geometric sequences is that they both follow a certain…

Q: What is the explicit formula for a geometric sequence?

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Q: Find a formula for the general term an of the arithmetic sequence (starting with a1): {5,10,15,20,…}

A: The given arithmetic sequence is

Q: True or False A geometric sequence may be definedrecursively.

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Q: Write the recursive and explicit rules for the geometric sequence shown in the table below. In 1 3 4…

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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: define the geometric sequence as a recursive function of the following five numbers. 1/9, 1/3, 1, 3,…

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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: Which explicit formula describes the arithmetic sequence {19,14,9,4,...}

A: The arithmetic sequence is given by 19, 14, 9, 4, ····· To determine : The explicit formula of the…

Q: 4 Chose the formula for the nth term of the Geometric Sequence: 6, 4, 4, 10

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Q: Find the infinite sum of the geometric sequence with a = = 6, r = if it exists. %3D 2 00

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Q: Find the missing term of the geometric sequence. It could be its geometric mean or its opposite. 13.…

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

A: a1=7a2=10d=a2-a1=10-7=3

Q: What is the 5th term of the geometric sequence 3/20 3/2 and 15 question

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Q: 1) Find the 8th term of the geometric sequence 100, 20, 4, ...

A: According to our guidelines , We can answer only first question. Kindly re-post other remaining…

Q: Find the fifth term of the geometric sequence from the given information. Express the term as an…

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Q: 6. Find the first 4 terms and the 12th term of the geometric sequence: a, =100,000 and r = -0.2 ɑ1 =…

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Q: Find a formula for the nth term of the geometric sequence 1600, -400, 100, -25......

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Q: Find the common difference and the sum of the first 8 terms of the arithmetic sequence. an = 4(n-1)…

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Q: Which of the following sequences is an arithmetic sequence? Why? 1. 10, 15, 20, ... 2. 2, 4, 8,16,…

A: Using definition of Arithmetic Sequence.

Q: An arithmetic sequence will always have a common ratio. O True O False

A: In an Airthmetic sequence the difference between one term and the next is a constant.We just add the…

Q: Which explicit formula describes the arithmetic sequence {19, 14, 9, 4, …}

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Q: 4. Find the value of x so that x+7, -x-1, x+ 13,.. shall form a geometric sequence.

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Q: An arithmetic sequence is a sequence in which the___between successive terms is constant.

A: An arithmetic sequence is a sequence in which  the difference between successive terms is…

Q: Example 6: Find the sum of the first 30 terms of the arithmetic sequence 3,7,11, 15, ..

A: Given- Consider the arithmetic sequence 3,7,11,15......  To Find- The sum of the first 30 terms.…

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: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 6, 2,…

A: Explanation of the answer is as follows

Q: Write a recursive formula for the geometric sequence an given below. 10,10/3,10/9,10/27,10/81,…

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Q: 1. Find the sum of the first eight terms of the geometric sequence 3,6,12, * ...

A: 1. We have find the sum of first eight terms of the geometric sequence 3,6,12... Formula for sum of…

Q: What happens to the terms of a geometric sequence when the common ratio is negative?

A: Common ratio of a geometric progression is defined as the ratio of a term with its preceding term.

Q: State the formula for the general term of an arithmetic sequence with an initial value of 1/3 and a…

A: Given a=1/3 d=2

Q: Find the sum of the indicated number of terms of the geometric sequence. 5, 10, 20, ...; n = 8

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Q: Find the indicated term of the geometric sequence. 6th term of 3, 3/4, 3/16…

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Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A: Write the first term and the common ratio of the sequence. a=3,r=63=2

Q: The 12th term of an arithmetic sequence is 11 and the 15th term is 17. Find the 7th term. O 3 O 1 O…

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Q: Is the sequence shown in the picture bounded? Why or why not? What work has to be done to show if a…

A: The given sequence is: an=1,4,7,10,.....  Given sequence is a arithmetic progression with: an…

Q: The fourth term of an arithmetic sequence is 11, and the sixth term is 17. Find the second term.

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Q: Find the sum of the first 50 terms of the arithmetic sequence below. - 19. - 12. -5. 2. . The sum 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.