The fourth term of an arithmetic sequence is 10 and the 20Oth term is 58. Determine the first four terms of the sequence. (Note: Do not put space for every number and symbols, ex. 1,2,3,4) *

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: The 12th term of an arithmetic sequence is 59, and the fifth term is 31, Find the 20th term. 820 =

A: Topic = Sequence

Q: Suppose that a sequence is defined as follows. a1=-2, a,=-3a,-+7 for n>2 | List the first four terms…

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Q: An arithmetic sequence is given below. 18, 14, 10, 6, Write an explicit formula for the n th term…

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Q: Suppose that a sequence is defined as follows. a = 3, a, = -4a,-1+6 for nz 2 List the first four…

A: If given nth term of the sequence and also given first term of the sequence  then we can find…

Q: Find the first five terms of the explicit arithmetic sequence. an = 4n 2 %3D O 2, 3, 4, 5, 6 O 6,…

A: we have to find the first five terms of the explicit arithmetic sequence an=4n-2 .

Q: .A sequence can be generated by using an = a(n-1) + 6, where a = 3 and n is a whole number greater…

A: The given sequence is an=an-1+6 where a1=3. Put n = 2,  a2=a1+6=3+6=9 Put n = 3, a3=a2+6=9+6=15 Put…

Q: 3 if it exists. 8 Find the infinite sum of the geometric sequence with a = 6, r = Preview

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Q: 5. Find the first five terms of the recursively defined infinite sequence: а, %3D 2, а, %3D5 & a,…

A: a1=2, a2=5 and ak+1=9ak-4ak-1

Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next…

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Q: The 12th term of an Arithmetic sequence is 240 while the 7th term is 196. Find the 10th term of the…

A: Consider the given 12th term of an Arithmetic sequence 240 and  term 7th of an Arithmetic sequence…

Q: Suppose that a sequence is defined as follows. a=2, a,=-3a,-1 for n22 List the first four terms of…

A: Given :              a1 = 2              an = -3 an-1 + 5 To find :                    The first…

Q: The first three terms of an arithmetic sequence are given. Find an expression for t in n terms of n,…

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Q: If an arithmetic sequence has terms as = 20 and ag = 36, what is a15? 50 O 56 O 60 O 80

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Q: The Fibonacci number is a sequence which is described explicitly by Fn = Fn-1 + Fn-2-

A: Given statement is The Fibonacci number is a sequence which is described explicitly by  Fn = Fn-1 +…

Q: An arithmetic sequence is given below. 18, 14, 10, 6, ... Write an explicit formula for the n th…

A: Given: An arithmetic sequence : 18,14,10,6, ... To find: An explicit formula for the nth  term an.

Q: An arithmetic sequence is given below. 16, 20, 24, 28, Write an explicit formula for the n th term…

A: Given query is to find the explicit formula for nth term.

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: The first three terms of a geometric sequence are as follows. 81. 27,9 Find the next two terms of…

A: Our objective is to find the next to turn of the geometric sequence.

Q: Suppose that a sequence is defined as follows. a, =7, a,=a,-1-3 for n>2 List the first four terms of…

A: The objective of the question is determine the four terms of the given sequence.

Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be

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Q: Find the first 5 terms of the sequence defined byan = 10/n .

A: Consider a sequence an. The first n terms of the sequence are given by: a1, a2, a3,...an

Q: Suppose that a sequence is defined as follows. a1 =-4, a,= 3a,-1+7 for n22 %3D List the first four…

A: A sequence is defined as follows:- a1=-4, an=3an-1+7 for n≥2 Then for n=2: a2=3a1+7…

Q: The first three terms of a geometric sequence are as follows. 32, 16, 8 Find the next two terms of…

A: We have to find next two terms of the given geometric sequence: 32, 16, 8 Here, First term, a=32…

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

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Q: Suppose that a sequence is defined as follows. a1=-2, for n>2 an= 3a,-1+2 List the first four terms…

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Q: Determine whether the statement, 'The sequence 2, 6, 24, 120, ........ is an example of a geometric…

A: Given:2,6,24,120.....

Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next…

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Q: Use the formula for the sum of the first n integers and/or the formula for the sum of a geometric…

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Q: write an expression for the apparent nth term (an) of the sequence and assume that n begins with 1…

A: The sequence is given by 31, 42, 53, 64,75,····· To evaluate : The expression for the apparent nth…

Q: Suppose that a sequence is defined as follows. a1=-5, a,=4a, +10 for n>2 List the first four terms…

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Q: 2, 10, 50, 250, .

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Q: Determine if the sequence is a geometric sequence. If it is, find the common ratio and write the…

A: Given: A sequence: 294,42, 6,6/7,.................................. To find: If sequence is…

Q: Consider the following sequence: 3,9,15,21,... Find the 50th term of this sequence.

A: This is an arithmetic sequence with the common difference =d= 9-3=6 And the first term = a_1= 3

Q: the n^th term of the following sequence 1,4,7,10,...is

A: For given sequence a1 = 1 a2= 4 a2 = a1 + 3

Q: If the 4th term and the 14th term of an arithmetic sequence are 13 and 73 respectively, the sum of…

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Q: What is the 11th term of the arithmetic sequence 1+2i, 3+3i, 5+4i...

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

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Q: Given that the 8th and 15th terms of an arithmetic sequence are 25/2 and 2, respectively, then the…

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Q: Suppose that a sequence is defined as follows. a1=-5, a,-4a, +10 for n>2 List the first four terms…

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Q: An arithmetic sequence is given below. 20, 15, 10, 5, ... Write an explicit formula for the n th…

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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: The first three terms of an arithmetic sequence are given. Find an expression for t in terms of n,…

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Q: The fourth term of a geometric sequence is 135 3645 and the seventh term is 4. Find the first 32…

A: Given :                     The fourth term of the geometric sequence is 1354 and seventhterm of…

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: If the nth term of a sequence is (−1) n n 2 , which terms are positive and which are negative?

A: We will plug some values for n to check how the signs change.

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

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Q: The tenth term of an arithmetic sequence is 32, and the fifth term is 16. Find a, d, and the 20th…

A: Given: The tenth term of the arithmetic sequence is 32. The fifth term of the arithmetic sequence is…