The nth element of the following sequence – 1, 2, –4, 8, ...is А. (-1)" 2ª-1 В. 2п-1 С. 2n D. None of the above

Q: Suppose we have the sequence 5, 5/9, 5/81, 5/729, ... Find an explicit formula for the nth term of…

A: Given Data: Sequence: 5, 5/9, 5/81, 5/729 Check common ratio for a geometric sequence. The common…

Q: Give the first four numbers of the following sequence. A geometric sequence with first term = 1.2…

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Q: 5. The sum of the first n terms of a sequence is called the nth sum and is denoted by S.

A: An arithmetic sequence is a series of numbers that have the same common difference and the sum of…

Q: Find an explicit formula for the general term an of the sequence. {1,- -/-/- 3 5

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Q: For the geometric sequence (4, 16, 64, 256, - - , the term a17 O 416 O4.416 O 4.43 O4.418 O4.45

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Q: For the sequence an = 5 + 3 · (n – 1), - its first term is its second term is its third term is its…

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Q: 1. Find the first four terms of the sequence whose nth term is an = 2 + 3n. * 5, 7, 9, 11 O -1, -4,…

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Q: Find the first six terms of the following sequence. an = -2 – 7(-1)", for n > 1. %3D

A: To solve this problem we need to have an understanding about the powers of -1.

Q: List the first 10 terms of each of these sequences. a) the sequence obtained by starting with 10…

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Q: The nth element of the following sequence – 1, 2, –4, 8, ..

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Q: The general term of the sequence 1, 2' 4'8' - , starting by n=0 is +00 n=0 +00 (ii n=0 (iii)None of…

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

Q: The domain of the following sequence ( where n is natural number *:) is /5-n n- 4

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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: Find the first six terms of the piecewise sequence: S(- 2)" – 4 if n is even An 3n -1 3 if nis odd

A: solutiongiven an=-2n-4 , if n is even3n-1-3 , if n is oddfirst six terms of the pieccurce…

Q: > The general term of the sequence 1,!! ! , starting by n-0 is (6) 2n+1 (ii) (iii)None of these

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Q: 4n2 + 2n + 6 6, 15, 24, ...,

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Q: Find an explicit formula for the following sequence, an which starts with a1=−1.…

A: We have to solve given question.

Q: Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common…

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Q: 3. What is the 10th term of the sequence whose nth term is an = (n^2+2n-3)/(n+1) ? * O 117/11 O…

A: We are given the nth term of the sequence and we need to find the tenth term of the same. This can…

Q: Find the first five terms for the following arithmetic sequence tn =-3n + 20. %3D A 17, 14, 11, 8, 5…

A: Given, tn = -3n + 20

Q: For the sequence defined by: a1 = 2 2 an +1 - - an Find: a2 = a3 a4 = II

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: Find the third ,fourth and fifthterms of the sequence defined by a1=2,a2=3 and an=(-1)nan-1+an-2

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Q: Find the So. for each of the following sequences. 16 32 i) 20, 8, ****** 5' 25' 3-3 " 4 16 ii) 12,…

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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: Find the sum of the first 10 terms of the geometric sequence defined explicity as: а, — 5 х 2n-1 O…

A: Option B is correct. Detail solution written below.

Q: Compute the first 6 terms of the sequence {an} where An-1+n a1 = 1 and an for n > 2.

A: The given sequence,a1=1 and an=an-1+n2 for n≥2

Q: The nth term of the following sequence 1,4,7,10,.is A. n В. Зп — 2

A: Solution of the problem as follows

Q: What is the sum of the first 10 powers of 2? Assume the first term of the sequence is a1=2 A.s20=…

A: Given: A sequence of 10 terms with powers of 2, starts with first term a1=2. The objective is to…

Q: Find the 71th term of the given sequence; sn=5n-100

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Q: Given the following sequence, provide the (unsimplified) sum of the first 20 terms: -2, 3, 8, 13,…

A: given sequence is :                                       -2, 3, 8, 13...  we have to find sum of n…

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

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

Q: The general term of the sequence is Select one: O True O False 1, an = 1-1 1 (-1)"+1 ,n21

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Q: For the sequence defined by: a1 = 2 5 An+1 = an - + 4 Find: a2 = az = a4 =

A: Find the values of a2 a3 a4

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: 4 if it exists. 8. Find the infinite sum of the geometric sequence with a = 5, r = I.

A: The infinite sum of the geometric sequence with the first term ''a'' and common ratio r  is   .…

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: The nth term of the following sequence 1, 4, 7,10,...is А. B. 3n 2 - C. 3n +2 D. None of the above

A: Concept:

Q: The 13th term of a sequence is 8, and the 17th term is 8. What is th

A: Given, the 13th term of a sequence is 8 and 17th term of sequence is 8.

Q: > The general term of the sequence 1, 2' 4 , starting by n=0 is .. +00 (i) n+1 +00 (ii) (iii)None of…

A: In the question it is asked to solve for the general term of the sequence given in question.

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

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Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r = a, = (/2)(5y* a, =…

A: Given query is to find the nth term of the sequence.

Q: Find the third, fourth and fifth terms of the sequence defined by  a1=3, a2=5 and an=2an-1-an-2 for…

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Q: 13.What is the 3rd term of the sequence defined by an = (-2n)", %3D O A. 216 о в. 276 O C.-216 O D.…

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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: For the geometric sequence {4, 16, 64, 256, - . . .. -}, the term a17 O 4.418 O 4.45 O 4.43 4 - 416…

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Q: = (-1)"/(n³). Write the first five terms of the sequence whose nth term is a, a, = a2 az = as

A: Solution is given below:

Q: The nth term of the following sequence 1, 4, 7,10,.is A. n В. Зп - 2 C. 3n + 2 D. None of the above

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Q: Find the sum to the nearest tenth of the first 17 terms of the sequence defined by the recursion a…

A: Given first term ( a ) = 5 Next term of series = 1.1 + an-1 This defines an A.P. with first term of…

Q: B. Express a, in terms of n for each of the following sequences. 4. 2, 4, 8, 16,... 5. 5, 11, 21,…

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