An arithmetic sequence is given by an = -2 + 3(n - 1). Which of the following numbers belongs to the sequence? а. 22 b. 26 с. 18 d. 29 е. 15

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: 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 first term of an arithmetic sequence is equal to 6 and the common difference is equal to 3. Find…

A: The first term of the arithmetic sequence, a1 =6 he common difference,d= 3

Q: How many terms of the geometric sequence 1÷27 ; 1÷9 ; 1÷3 ;....yield a sum of 364÷27?

A: The solution for the above question is as shown below.

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: 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: 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: If the 100th term of an arithmetic sequence is 200, and its common difference is 2, then its first…

A: Given an arithmetic sequence100th term of this A.P=a100=200common  difference=d=2

Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

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Q: Find the sum of the finite geometric sequence. E(-3)" - (-3)" – 1 n-1

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Q: 30. Find the sum S20 of the first 20 terms of the arithmetic sequence given by an = 5 – 2n.

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Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by sn = 2n…

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Q: The sum of the first 20 terms of the sequence O.7,0.77, 0.777,.. is

A: We have to find the sum of first 20 terms of the sequence: 0.7, 0.77, 0.777, ..... Assuming the…

Q: For the given geometric sequence. Find the sum of the first 6 terms of 3, -6, 12, ….

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Q: the smallest of the terms of the 2 sequence = n - gn-100 when iz is valuable n

A: The given sequence is,Xn=n2-9n-100

Q: Find the first term of the geometric sequence from the given information. Express the term as an…

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Q: The sum of the first n terms of a sequence is (17n^2 )– 11n. Determine the 20th term.

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Q: (c) The sum of the first 12 terms of a geometric sequence is 6144. If the common ratio is 2, find…

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Q: 2. The first three terms of either an arithmetic or geometric sequence are given by 6, a, 24. Which…

A: Given,         The first three terms of either an arithmetic or geometric sequence are…

Q: To find the 40th term of the geometric sequence 8, 6, , which formula is correct? 39 8(4) a40 39 O…

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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: nth term for n = − 5+(n-1)14, where n is a positive integer. What is the value of the tenth term in…

A: we put n=10 in given sequence and find 10th term .see 2nd step.

Q: Find the sum of the first 30 terms of the arithmetic sequence. an = -3n + 27

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Q: In an arithmetic sequence {a1, a2, a3, -} the first term is 5 and the 19th term is 95, then S19 is

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Q: Find an explicit formula for the general term a, of the sequence. {-4,0,4, 8, 12, 16, ...}

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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: Find the first four terms of the sequence given by the following. an= (-1)^n-1 x3n^2 n = 1,2,3

A: Given that: an=(-1)n-1x3n2  , n=1, 2, 3,

Q: 1) Find the first five terms of the sequence as well as the 30th term of a, = 2n

A: Since there are multiple questions the first questions is answered as per our guidelines. kindly…

Q: Find the sum of the first five terms of the sequence with the given general term. an = (−1)n

A: Given sequence, an=(-1)n Put n=1 to 5 to get first five terms of sequence then add them.

Q: Find the sum of the first five terms of the sequence with the given general term. an = 4n

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Q: Find the sum of the first 8 terms of the geometric sequence. 139 9 27 27 81 - - - + 2 2 2 O A. 2…

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Q: What are the first 5 terms of the sequence represented by a=2n-3a n "n-1, where a₁ = 4₂

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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: Find the sum of the first 50 terms of the arithmetic sequence. an -5n – 6 ||

A: The arithmetic sequence is given by an = -5n-6 To evaluate: The sum of the first 50 terms of the…

Q: In an arithmetic sequence the ratio of the third to the eight term is 6:1 and the sum of the third…

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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 explicit formula of an arithmetic sequence is an =-4.5+6.5(n-1), what is the recursive formula?

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Q: The arithmetic sequence with a1=5 and d=4 _____,_____,_____,_____

A: Given: a=5,d=4

Q: Find the first term and the common ratio of the geometric sequence. 27 81 6, 9, 2' 4 3 O A. a, = 2 3…

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Q: For the given geometric sequence. Find the sum of the first 6 terms of -2,2,-2,2,….

A: Sum of geometric progression

Q: find the sum of the first 60 terms of the arithmetic sequence given by: -5,-2,1,4,7   Formulas:…

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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: find a formula for the nth term of the sequence. 1/25,8/125,27/625,64/3125,125/15,625, ...

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Q: Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + an 4 10

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Q: Select a formula for the general term ³ of the sequence, assuming that the patt of the first few…

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Q: Find the first four terms of the sequence with a recursive formula.

A: We have a recursive formula here. In a recursive formula, every subsequent term is derived from the…

Q: If two terms of an arithmetic sequence are a₁₁ = 26 and 815 = -10, what is 828? -226 O-217 O-127…

A: I have stated the used formula in the solution.

Q: Find the first six terms of the piecewise sequence: S( - 2)" (– 2)" – 3 if n is even an = | 3-1 – 4…

A: n=1 , 3 , 5 are odd, so we use the second piece

Q: 4. What are the first five terms of the sequence for a1=-2 and an=2an-1+5?

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