Suppose that al, a2, a3, .. is an arithmetic sequence with common difference d. Show that 10, 10, 10, 10, ... is geometric sequence and find the common ratio r. is a

Q: Find S,, the sum of first 15 terms of the arithmetic sequence: , 0, – - 1, .... ...

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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: Find the last term An, of the given geometric sequence: _____1) 1, 5, 25, 125,.....up to A7 _____2)…

A: Nth term of a GP is given by arn-1

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

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

Q: Suppose that the sequence {a}, is =1 1,3, 5, 7,9, 11, 13, .. Find the sum s=E k=1

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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: Suppose a, is the sequence such that a, = -3 - (-1)". Find 25 Li-5 đị. O a. 325 - 35 O b. -3 Ос. 3 O…

A: Given sequence is an=−3⋅−1n. We have to find the ∑i=525ai.…

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: 40. Find a, andr for a geometric sequence given that az = 18 and a = 486.

A: Given: a3=18    a6=486

Q: 0 For each sequence, determine whether it appears to arithmet 256, 64, 16, 4, ... 3, 5, 7, 9, ...…

A: Solve the following

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: 1. What is the 5th term of the geometric sequence described by a, = 5(1.5)"? %3D O az = 5.0625 %3D O…

A: The given question can be solved as shown in step2

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

A: Here an be the given sequence which is defined by a1=5 and an=2an-1-3 when n≥2 . We have to find a4…

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

A: Given  a = 3  r = 2/6

Q: Suppose that tn is an arithmetic sequence. Find the values of a and d if we know that t10 38 and t15…

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Q: The first three terms of an arithmetic sequence are as follows. 31, 24, 17 Find the next two terms…

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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 first four terms of the sequence defined by an = nan 1+En'a, 2, ag = 2, a, = 6 are O ao = 2, a1…

A: Note:- For given problem Either options are wrong because according to problem a2=6 but in option…

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: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

A: Topic = Sequence

Q: If a1, a2, a3, a4, ... is a geometric sequence with common ratio r, show that and determine the…

A: Given  is a geometric series with common ratio r, so we have

Q: Given that a is a geometric sequence and az = and a5 what is a12?

A: Let the first term is = a and common ratio=r Given that

Q: The following sequence is geometric: -1, 1, -, . O True O False

A: Given the geometric sequence−1,12,14,−18

Q: This is sequence and the is equal to

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Q: If the given sequence is an arithmetic sequence, find the common difference. If is not an arithmetic…

A: To solve the following problem

Q: For the given geometric sequence. Find the sum of the first 5 terms of 4, 12, 36,…

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Q: An arithmetic sequence whose first term is 4 and base is 3, so the sec ond and fifth terms are equal…

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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: I. Determine whether or not each of the following is an arithmetic sequence. 3. 3, 7, 11, 15,.. 4.…

A: To determine whether or not each of the following is an arithmetic sequence. 3 3,7,11,15,....4…

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: 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: Suppose b1, b2, ba,.. is a sequence defined as follows. Show that 5 b, for all integers n > 0. bị =…

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Q: de if the sequence is arithmetic, geometric, or neither. 1, 4, 9, 16, ... 14) 10, 3, -4, -11, ... 2,…

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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: If the given sequence is a geometric sequence, find the common ratio. If it is not a geometric…

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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: Determine whether the sequence is arithmetic or geometric.4, 8, 12, 16, 20, . . ._____________

A: Given: 4, 8, 12, 16, 20, . . .

Q: 1. If the first three terms of an arithmetic sequence are k - 2, 2k +1 and k + 2, find the value of…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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: The sequence is geometric: 3, 13, 23, 33,.. O True False

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Q: If the explicit nth term formula for the given sequence is an = 2n2 + bn +c, then b= and c= 5, 10,…

A: Plugging n=1, an=2n2+bn+ca1=212+b1+c5=2+b+cb+c=3 Plugging n=2, an=2n2+bn+ca2=222+b2+c10=8+2b+c2b+c=2

Q: Find as of the geometric sequence if a1 = 3 and r=7.

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Q: 1.) Show that the sequence 2,11, 20, 29, ... is arithmetic.

A: we have to show that the given sequence is arithmetic

Q: Suppose we have the sequence 1, 4, 7, 10, ... Find an explicit formula for the nth term of the…

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Q: Suppose that a sequence is defined as follows. a1 =-4, an= 3a,-1+7 n2 2 for List the first four…

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Q: Determine if this sequence is geometric. If it is what is the explicit formula for the sequence?…

A: In the question we have to determine whether the series is geometric or not.

Q: If the sequence 1, 0.3, 0.09, 0.027 is a geometric sequence, find the sum of the first five terms.

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Q: A sequence of the form a, a + d, a + 2d, a + 3d,..., a +nd is called

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