An arithmetic sequence begins 2, 6, 10, 14, 18, . ... (a) Find the common difference d for this sequence. d = (b) Find a formula for the nth term a, of the sequence. an (c) Find the 35th term of the sequence. a35 =

Q: Consider the sequence 5, 10, 15, 20, ..., 5n + 5. a. How many terms are there in the sequence? Your…

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Q: 3. The geometric sequence begins -3072, 1536, -768 (a) Find the 13th and 20th terms of this…

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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: Write a formula for the general term (the nth term) of the arithmetic sequence, an = an-1 -10, a1 =…

A: Consider the given information: an=an-1-10an-an-1=-10Common difference,d=-10and, a1=30 Since, it is…

Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

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Q: how to solve the nth term of ge

A: Given,  the geometric sequence                                             10, 2, 25, 225, 2125,  .…

Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

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Q: Given two terms in an arithmetic sequence find the explicit formula.

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Q: Express the arithmetic sequence as an explicit formula. Then find the 50th term. Sequence: 5, 12,…

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: Find a FORMULA for the general term an of the sequence {2, 20, 2, 20, 2, · · · } Assuming that the…

A: Given sequence is {2, 20, 2, 20, 2, · · · } The objective is to find the formula for the general…

Q: The first term of an arithmetic sequence is -4. The fifth term of that arithmetic sequence is 16.…

A: Given: The first term of the arithmetic sequence is -4, i.e. a=-4.            The fifth term of the…

Q: Find the first term and the common difference of the arithmetic sequence described. Give a recursive…

A: a7=-4  &  a17=66. Now let a & d be the first term and common difference respectively. Now,…

Q: lue of the computer after 7 years is $ urchase value of an office computer is $12,900. Its annual…

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Q: Consider the geometric sequence defined by an=3 (2) n–1 1. Find the first four terms of the…

A: The given geometric sequence is: an=3×2n-1

Q: Find the first term and the common difference of the arithmetic sequence described. Give a recursive…

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Q: Q1/ A geometric sequence whose terms are positive and the sum of the first and second terms is 36,…

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Q: 6 The nth tem ofa sequence is.guen find the first five terms of the sequence.

A: Simply put different values of "n" to get the desired term.

Q: (a) In an arithmetic sequence, a, = 300 and a11 = 240. Determine the 110th term of the sequence. 8.…

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Q: Find the first term and the common difference of the arithmetic sequence described. Give a recursive…

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Q: Find the first term and the common difference of the arithmetic sequence described. Give a recursive…

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Q: Show that the sequence is arithmetic. Find the common difference, and write out the first four…

A: Solution is given as below:

Q: A 3. Consider the arithmetic sequence (33, 44, 55, 66, ...}. What is the 15th term in this sequence?…

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Q: Write the first five terms of the geometric sequence a, based on the given information about the…

A: Given query is to find the first 5 terms of the sequence.

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: Find the 13th term of the geometric sequence 5,10,20..

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Q: Find the indicated term of the arithmetic sequence with the given description.  The first term is…

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Q: f the second and third terms of a geometric sequence are 108 and 36, what is the first term? Express…

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Q: List the sequence in geometric 2, 2/3, 2/9, /2/27, ____,_____ Find the two terms in the geometric…

A: We have to solve given Questions.

Q: The first term of a geometric sequence is 2100. The common ratio of the sequence is-0.I. 0.1. What…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Given The sequence =  1 , - 5 , -11 , -17 , -23 ............ Let's assume First term = a1 = 1

Q: Write an expression that gives the requested term. The 13th term of the geometric sequence with…

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence, an = an-1 -12, a1 =…

A: We have to write the general term  nth  term of the arithmetic sequence: an=an-1-12, a1=24 Then by…

Q: Find the first term and the common difference of the arithmetic sequence. Give a recursive for the…

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Q: hat is the formula for the arithmetic sequence if the sum of the same sequence is given by Sn=2n+3n^

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Q: 4. An arithmetic sequence has the first term of 10 and a common difference of-2. Find the sum of the…

A: Topic = Arithmetic sequence

Q: ind the 14th term of the geometric sequence 10, 40, 160,

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Q: 7. In an arithmetic sequence, the first term is –7, while the sixth term is 23. a. Find the common…

A: Given :

Q: Consider the arithmetic sequence: 2, -4, -10, -16, ....... Solve, Write a formula for the general…

A: Consider the arithmetic sequence: 2, -4, -10, -16, ....... Solve, Write a formula for the general…

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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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: Write an explicit formula for the nth term of the arithmetic sequence. Find the sixth and tenth…

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Q: 12. The first term of an arithmetic sequence is 11. It's 32nd term is 600. Determine the sum of the…

A: We have to find sum of the sequence

Q: Write a formula for the general term (the nth term) of the arithmetic sequence 6, 1, -4, -9, . . . .…

A: an=a1+(n-1)d

Q: An arithmetic sequence starts 20,16, .. Write the nth term function for this sequence.

A: Given that a=20

Q: Write a formula for the general term (the nth term) of the arithmetic sequence, 1, 5, 9, 13,…

A: The given series is 1, 5, 9, 13, ...... The first term of the series is a=1. The common difference…

Q: An arithmetic sequence has a 10th term of 15 and 14th term of 35. a. What is the common difference?…

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Q: Write a formula for the general term the nth term of the arithmetic sequence 7, 3, -1, -5, . . . .…

A: The given arithmetic sequence is 7,3,-1,-5,... To find the general formula for the given sequence…

Q: Write a formula for the general term of the geometric sequence. Then use the formula for a, to find…

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Q: It is given that three positive integers form an arithmetic sequence. Find these three integers if…

A: Let the three integers be a-d, a and a+d.

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.