Given that the first term of an arithmetic sequence is 50 and the common difference is -5, what is the explicit formula that represents this sequence? What would the 64th term of this sequence be?

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: What is the recursive formula for finding the nth term of the given geometric sequence?

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

Q: Find the common ratio and write out the first four terms of the geometric sequence (1.04)" n-1…

A: Lets find common ratio r and a1,a2,a3,and,a4.

Q: In an arithmetic sequence, if az = -12 and ag =-31, then the common difference d is O 19 O 22 O 21 O…

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Q: For a sequence with a first term of 5 and a common ratio of 4, what is the 11th term?

A: For the given sequence,  First term, a = 5 Common ratio, r = 4 11th term, a11 = ? So, n = 7

Q: in an arithmetic sequence, the first term, a1, is equal to 1, and the seventh term, a7, is equal to…

A: The nth term of an arithmetic sequence is given by an = a1 + (n – 1)d where a1 is the first term and…

Q: Given the geometric sequence: 35 az = 3 245 a1 = 5, a2 = 9. find a formula for the nth term: an =

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

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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: Given the sum of the first 5 terms of a geometric sequence is 847 and the common ratio is 3,…

A: Solution-

Q: In a certain geometric sequence, the eighth term is 100 and the common ratio is -(3/2). Find the…

A: Let the first term be a so the sequence will be a, ar, ar2, ar3 ....... The eighth term is 100…

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 first term of a geometric sequence is  1536 and the common ratio is 1 /2 . Which term of the…

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Q: Find the missing terms of the geometric sequence given 1, -2, .., -32 and that -32 is the 6th term…

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Q: Solve the following 1. Find the 5th term of an arithmetic sequence whose 3rd term is 35 and whose…

A: (1) We know that, nth term of an Arithmetic sequence is given by an=a+n-1d Where a and d are first…

Q: Given the explicit formula for a sequence, find the first five terms and the 52nd term. 1) а — 41-…

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Q: The first term of an arithmetic sequence is a = 7, and the common difference is d = 3. How many…

A: Given: for given arithmetic sequence, first term a=7, common differenced=3 let's sum of n terms of…

Q: For a given geometric sequence, the common ratio, r, is equal to 5, and the 12th term, a₁2, Is equal…

A: The nth term of a geometric sequence is given by  an = a1·rn-1 where a1 is the first term and r is…

Q: If the general term of an arithmetic sequence is a(n) = 7n - 3, find the sum of the first 7 terms of…

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Q: For a given arithmetic sequence, the first term,  a1 , is equal to  11 , and the  36th  term,…

A: The n-th term of an arithmetic sequence with first term a1 and common difference d, is given by, an…

Q: If the given sequence is a geometric sequence, find the common ratio. 4, -12, 36, -108, 324 -16 -3 O…

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Q: If the nth term of a sequence is (-1)"+1, which terms are positive and which are negative? п

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Q: For a given arithmetic sequence, the common difference, d, is equal to 7, and the 41st term, 941…

A: NOTE: Refresh your page if you can't see any equations. . here we have the 41st term of the…

Q: For what value of K will K, K-2, K-3 be in terms of geometric sequence?

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Q: is equal to 240, and the 5" term, ac, is equal to 36. a73 term, For a given arithmetic sequence, the…

A: A sequence is funfction  from the set of natural numbers to the set of real numbers. A sequennce can…

Q: Is the sequence geometric? If so, identify the common ratio. 2, -4, -16, -36, ....

A: We know that Geometric sequence has common ratio The formula for nth term  is  an=arn-1 Where a is…

Q: Given a and b, suppose that three numbers are inserted between them so that the five numbers form a…

A: If the product of the three inserted number between a and b is 27  This product is the cube of the…

Q: The sixth term of a geometric sequence is 1215 and the third term is 45. Find the first term and the…

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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: The table below identifies the values for the first 5 terms in an arithmetic sequence. 1. Term…

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Q: Given that the 35th term of the Fibonacci Sequence is 9,227,465 and the 33rd term is 3,524,578, what…

A: Given that the 35th term of the Fibonacci Sequence is 9,227,465 and the 33rd term is 3,524,578.Our…

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

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Q: Given the explicit formula for a geometric sequence find the first five terms and the 8th term. 6)…

A: Given, The explicit formula for geometric sequence  an= -3×(-2)n-1 To find the first five terms plug…

Q: a = 3"- 1

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Q: For a given geometric sequence, the common ratio, r, is equal to 2, and the 10th term, ₁o, is equal…

A: Here, nth of a GP , an = a1 × r(n - 1)

Q: In an arithmetic sequence a1, a2, · ·-, an , if the first term is 7 and the common difference is 5,…

A: We use arithmetic progression formula an = a + (n-1)d

Q: For a given geometric sequence, the 1st term, a₁, is equal to 11 9 your answer as a fraction. and…

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Q: The fifth term of an arithmetic sequence is 24, and the sum of the first 10 terms is 265. Write the…

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

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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: If the third and fourth terms of an arithmetic sequence are −6 and −9, what are the first and second…

A: Given,

Q: For a given arithmetic sequence, the 82™ term, as, is equal to -539, and the 7" term, a-, is equal…

A: We have given the two terms of an arithmetic progression.

Q: In GP, the sum of the first 5 terms is 121/81 and the common difference is 1/3, determine which of…

A: Given, The sum of the first 5 terms =12181 The common ratio =13

Q: For a given arithmetic sequence, the first term, a₁, is equal to 21, and the 86th term, 96, is equal…

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Q: For a given geometric sequence, the 4 41 term, a, is equal to , and the 9th 625 term, ao, is equal…

A: Given Data: The 4th term of the geometric sequence is: a4=41625 The 9th term of the geometric…

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: For a given arithmetic sequence, the 95th term, 495, is equal to 786, and the 12th term, 4₁, is…

A: Given

Q: The first four terms of an arithmetic sequence are given by a1 = 6, a2 = 12, az = 18, and a4 = 24.

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.