Given the following arithmetic sequence 3, 9, 15,... , find the value of the 16th term and the sum of the first 24 terms. Enter your answers as integers in the appropriate boxes: (a) The 16th term is (b) The sum of the first 24 terms is

Q: For a given arithmetic sequence, the first term, a₁, is equal to -23, and the 6th term, a6, is equal…

A: The given arithmetic sequence are: The first term a1=-23, and the 6th term is a6=-63. Find the value…

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 1, 5, 5,…

A: G. P. Series problem.....

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: For a given arithmetic sequence, the 37 term, a7, is equal to 234, and the 73 term, a-, is equal to…

A: a37=234  &  a73=450⇒a+36d=234   →1  &  a+72d=450   →2    ∵an=a+n-1d Subtracting equation (1)…

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: Given the following sequence, provide the (unsimplified) sum of the first 16 terms: 4/5, 4, 20, 120,…

A: Given sequence is  4/5 , 4 , 20 , 120 Series is Geometric Progression Series has first term as 4/5…

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: If the 5th term in a geometric sequence is 25 and the 7th term is 16, what is the common ratio of…

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

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Q: Using the expressions a1 and r, what is a general explicit rule for determining an, the nth term of…

A: Please check further steps for the solution.

Q: When finding the nth term in an arithmetic sequence, how do I sole a sequence with fractions? For…

A: In order to find the nth term in an arithmetic sequence of fractions, one should be able to find the…

Q: Find the first four terms of the sequence given by the following. (-1)"*1 an п3D 1, 2, 3, ... %3D…

A: We have to find first four terms of the given sequence.

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: Given the following sequence, write the explicit formula and find the 112th term. 7, 11, 15, 19, 23,…

A: We have to find the explicit formula and 112th term.   According to bartleby guidelines , we can…

Q: For a given geometric sequence, the 7th term, a7, is equal to 179, and the 10th term, a10, is equal…

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Q: The nth term of a sequence, represented by an, is called the______ term.

A: Given, The nth term of a sequence, represented by an

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: 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: 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: Given an arithmetic sequence whose sixth term is 28 and eleventh term is 43, find the sum of 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 first three terms of an arithmetic sequence are as follows. 15, 23, 31 Find the next two terms…

A: Arithmetic Progression is sequence of numbers where any two consecutive number has same difference.…

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 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: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.3, 2.7, 2.4,…

A: Given information: The arithmetic sequence is 3, 2.7, 2.4, 2.1,.... Concept used: The nth term of…

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: Determine the formula for the following sequence −15,−12,−9,−6,−3

A: Since, we have been given the sequence as -15, -12, -9, -6, -3.Our aim is to construct the formula…

Q: For a given arithmetic sequence, the 29 term, a,o, is equal to 243, and the 89" term, ago, is equal…

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Q: Given that the first term of an arithmetic sequence is 50 and the common difference is -5, what is…

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Q: Given the following sequence, provide the (unsimplified) sum of the first 14 terms: -6, 12,-24, 48,…

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Q: Use the following information to answer the questions. The 6th term in the arithmetic sequence is 35…

A: It is given that, the 6th  term is a6=35 and 9th term is a9=50

Q: In an arithmetic sequence {a1, a2, az, · .....} the first term is 6 and the 20th term is 101, then…

A: Given : a = first term =6

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

A: Sum of geometric progression

Q: If the sixth term of a geometric sequence is 972, and the tenth term is 78732, what is the first…

A: Sixth term of G.P is 972 Tenth term of G.P is 78732 T6=ar6-1=972......equation 1…

Q: Find the nth term to illustrate the given arithmetic sequence. 4,9 14, 19, 24,29... 15, 0, -15, -30,…

A: 2) Given sequence is 15, 0, -15, -30, -45, ... Here a=15, d=-15 The nth term formula is,…

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: 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: Given the following arithmetic sequence 3, 7, 11,. , find the value of the 17th term and the sum of…

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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: Given the following sequence, provide the (unsimplified) 14th term: 2,-6, 18,-54, ...

A: See the attachment

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.

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Q: Find the following: (a) Sum of the first 21 terms of the sequence: 5,9, 13, 17,...

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Refer to the following arithmetic sequence: 2, 10, 18, 26, 34, 42, ... What is a non-recursive…

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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…