Show that the sequence is arithmetic. Find the common difference and write out the first four terms. {Sn} = {n + 13}

Q: nd Find the 72 term of the following arithmetic sequence. 13, 21, 29, 37, ...

A: Recall:  nth term of arithmetic sequence is, an=a1+(n-1)d where, a1=first term, d=common difference…

Q: Consider the arithmetic sequence with a1= 2 and d=3 write the first five terms of the sequence find…

A: For the Arithmetic sequence, given data are, First term  a1 = 2 common difference d = 3 The nth term…

Q: Write the first five terms of the sequence with the given nth term.  an = 3n

A: Here the n th  term of a sequence is an=3n Therefore we have to substitute the values of n to get…

Q: 3, 12, 21, 30,...

A: A geometric sequence, is a sequence of numbers where each term after the first is found by…

Q: Find the common difference d and the nth term an of the arithmetic sequence

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Q: Write a recursive formula for the sequence 15, 26, 48, 92, 180, .... Then find the next term.

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Q: For an arithmetic sequence, a25 32. If the common difference is 1, find: a1 = the sum of the first…

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Q: Find r for the infinite geometric sequence. Determine whether the sum will converge. 4, 12, 36, 108,…

A: Consider the geometric sequence,   4, 12, 36, 108

Q: Write out the first four terms of the sequence and determine whether the sequence is converging. 1…

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Q: Find the 9th, 24th, and nth terms of the arithmetic sequence. 3, 1, -1, ... ag = a24 = %3D %3D

A: First find the common difference of the given arithmetic sequence than use the formula to find other…

Q: An arithmetic sequence is given below. 10, 3, -4, -11, th term d, Write an explicit formula for the…

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Q: f) Write the geometric sequence with positive terms whose second term is 9 and fourth term is 1.

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Q: Determine whether the sequence is geometric. If so, find the explicit formula for the sequence.

A: The given sequence is : 5, 1, 0.2, 0.04,..... Geometric sequence, is a sequence of numbers where…

Q: Show that the given sequence is arithmetic, and find the common difference.-6, -2, 2, . . . , 4n -…

A: An arithmetic progression is a sequence of numbers that has a first term and every succeeding term…

Q: Given an arithmetic sequence whose sixth term is 28 and eleventh term is 43, find the sum of the…

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Q: determine whether the sequence is arithmetic. If so, then find the common difference.

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Q: Use a₁ = 3 and r = -2 to find the term a7 in the sequence starting at a₁ with common ratio r.

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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: Write the first four terms of the sequence whose nth term, or general term, is given: an = (-1)n/2n…

A: Consider the following equation: an=-1n2n+1                    ...... 1 Substitute n=1 in the…

Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = 3n + 4

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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: Find the 9th, 24th, and nth terms of the arithmetic sequence. a, a + 5, a + 10, ... ag = a24 = an =

A: Given arithmetic sequence is  a, a+5, a+10, ..... where  first term = acommon difference d =…

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

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Q: Write the first four terms of a sequence given the following information: a: = -2 and the recursive…

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Q: An arithmetic sequence with a5 = 12 and a12 = 40 can be written in the form an = dn + ao %3D where d…

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Q: The tenth term of an arithmetic sequence is 23, and the second term is. Find the first term. X

A: Let's find first term of arithmetic sequence.  Tenth term = 73/2 Second term = 9/2

Q: 2, 10, 50, 250, .

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Q: Determine whether each sequence is arithmetic, geometric, or neither. Then find a formula for the n…

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Q: Determine if the sequence is arithmetic. If it is, find the common difference and the nth term. 3)…

A: An arithmetic sequence is a sequence where the difference between the elements in an order remain…

Q: Show that the given sequence is arithmetic, and find the common difference.53, 48, 43, . . . , 58 -…

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Q: Complete the explicit formula for the geometric sequence 5,10,20,40,80,... an

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Q: find the arithmetic sequence. formula for an for 8,1,6,-13,-20...

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Q: Given the arithmetic sequence an with a1 = -10 and d = -2, find ag. Provide your answer below: az =

A: Given a1= -10 , d= -2 and n=3

Q: Find the first term aj of the arithmetic sequence in which ag = 22 and a17 86. a1 =

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Q: Find the specified term of the arithmetic sequence that has the two given terms.a11; a1 = 2 + √2,…

A: a1=2+2a2=3

Q: determine whether the sequence is arithmetic. If so, then find the common difference.

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Q: The sum of the first eight terms of an arithmetic sequence {an} is 24; the sixth term is 0. Find a…

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Q: Write the first five terms of the sequence with the given nth term. an = 6n − 2

A: Given: an=6n-2

Q: Compute the first 3 terms of the sequence, use the nth term an= n2 - 3n

A: an=n2-3n To find the first term, put n=1 in an=n2-3n, we get a1=12-31=1-3=-2 To find the second…

Q: Find the tenth term in the sequence. an = n + 2

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Q: Write an explicit formula for each sequence. Find the 12th term. , =a, +(n-1)d 2. 7, 14, 21, 28, 35,…

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

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Q: Write a recursive formula for the sequence 8, 10, 12, 14, 16, .. Then find the next term.

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Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = 2n + 5

A: Write the first four terms of the sequence whose nth term, or general term, is given: an = 2n + 5

Q: Write the first five terms of the sequence with the given nth term.                        an =…

A: The given expression is an=5n-1n!

Q: a) Find the fifth term of the sequence

A: Part a,Given,           The sequence is 169,3115,4621,6127,.....To find : Find the fifth term of the…

Q: write the first S terms of the sequence.assume that begins with 1. a=-5n +6

A: Substitute value of n for  sequence for finding first five terms.

Q: Write the first five terms of the sequence. (Assume that n begins with 1.) an = 5(-1)" + n + 1 a2 аз

A: To find the first term we plug n=1 in the given formula  To find the second term we plug n=2 in the…

Q: and determine if the sequence is arithmetic, geometric, or neither 1/3, 1,3,9

A: In this question we will use basic of algebra i.e concept of sequence and series. Solution of the…