Given the explicit rule for an arithmetic sequence, write the recursive rule.

Q: For Exercise, find the number of terms of the finite arithmetic sequence. 8, 14, 20, 26, … , 320

A: Let there are n terms in the sequence.a_1= 8 and a_n=320common difference = d= second term - first…

Q: Write the arithmetic sequence 19, 26, 33, 40, ... in the standard form: An

A: The given arithmetic sequence is19,26,33,40,....We need to write it as terms of the sequence an

Q: Write a recursive formula for the arithmetic sequence rn given below. 13,5,−3,−11,−19,…

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Q: Find the common difference d and the nth term an of the arithmetic sequence

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Q: Find a, and an for the arithmetic sequence. as = - 2, ag = 10 a4 = an %3D

A: nth term of AP is given by, an= a+(n-1)d

Q: Decide whether the sequence is arithmetic. Explain?

A: Given sequence,                 3 ,6 ,12 ,24 ,48 ,....

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

A: Given a1=7 and an=an-1+1

Q: Write the explicit formula of an arithmetic sequence given the information below: a10=102 and…

A: To write the explicit formula of an arithmetic sequence with the given information

Q: Determine if the following pattern is an arithmetic sequence and if so, state the common difference.…

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Q: Write the first six terms of arithmetic sequence an+1 = an + 5, a1 = -2.

A: Arithmetic sequence is sequence in which terms are obtained by adding a fixed value to the last…

Q: For Exercise, write the first five terms of the sequence defined recursively. 1 b1 = 10; b, = ba-1

A: Given sequence defined recursively as  Substituting n=2,3,4,5, we get

Q: An arithmetic sequence has these terms: a = 24, ag = 52, a12 = 80, and a16 = 108. %3D %3D Which…

A: A sequence is said to be an arithmetic sequence if the difference between 2 consecutive terms is…

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

A: Geometric Progression (G.P.)First term - acommon ratio = rG.P. = a, ar , ar2, ar3 , ....nTh term…

Q: Write the arithmetic sequence 22, 14, 6, – 2, ... in the standard form: An

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Q: Write a formula for the arithmetic sequence that starts as follows: 3, 8, . . . Write the first five…

A: Here the given arithmetic sequence as Since the difference between any two terms of the above…

Q: For the arithmetic sequence, find a10 and a, when a, =7 and a =1. . a10 an (Type your answer in the…

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Q: Write a recursive sequence that represents the sequence defined by the following explicit formula:…

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Q: Find the specified term of the arithmetic sequence that has the two given terms.a10; a2 = 1, a18 =…

A: We have to find a10 of the arithmetic sequence which has given two terms: a2=1 and a18=49. We know…

Q: If the information given below represents an arithmetic sequence, find a27. a1 = 49 and ag =14

A: Soln :- from question ; Given the information            below which represents an arithmeticequence…

Q: Find the general term an and determine whether or not the sequence is a arithmetic sequence,…

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Q: For Exercise, find the number of terms of the finite arithmetic sequence.  7,16,25,34,,.........,574

A: 7,16,25,34,,.........,574First term = a_1=7Let there are n terms in the sequence.a_n=574d= common…

Q: For the arithmetic sequence, find a,, and a, when a, = 4 andd= -5.

A: We have to find arithmetic sequence an, given that a1=4, d=-5 where, a1= first term in the sequence…

Q: Find the 19th term of the arithmetic sequence whose common difference is d=3 and whose first term is…

A: We know that the nth term can be found as an=a+(n−1)d where a is the initial term and d is the…

Q: Write the arithmetic sequence 37, 29, 21, 13, .. in the standard form:

A: Arithmetic series: An=A0+(n-1)d

Q: Show that the given sequence is arithmetic, and find the common difference.-6, -2, 2, . . . , 4n -…

A: An arithmetic progression is a sequence of numbers that has a first term and every succeeding term…

Q: Which explicit formula describes the arithmetic sequence {19,14,9,4,...}

A: The arithmetic sequence is given by 19, 14, 9, 4, ····· To determine : The explicit formula of the…

Q: Write the arithmetic sequence – 14, – 17, – 20, – 23, ... in the standard form: An

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Q: Write an expression for the sum of the first n terms of a geometric sequence.

A: Given data:   The given number of terms in the geometric sequence is: n.   The expression for the n…

Q: For the arithmetic sequence, find a19 and an when = 1 and a = - 11. %3D

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Q: Write the arithmetic sequence – 19, – 23, - 27, – 31, ... in the standard form:

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Q: If h is an arithmetic sequence, write a definition for the nth

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Q: Write the arithmetic sequence -4, – 11, – 18, 25, in the standard form: an

A: Given that

Q: Write a rule for the nth term of the arithmetic sequence.

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Q: Determine

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Q: Find the 9th, 24th, and nth terms of the arithmetic sequence. a, a + 5, a + 10, ... ag = a24 = an =

A: Given arithmetic sequence is  a, a+5, a+10, ..... where  first term = acommon difference d =…

Q: An arithmetic sequence will always have a common ratio. O True O False

A: In an Airthmetic sequence the difference between one term and the next is a constant.We just add the…

Q: Which explicit formula describes the arithmetic sequence {19, 14, 9, 4, …}

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Q: Write the arithmetic sequence – 5, – 8, – 11, – 14, ... in the standard form: - - an

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Q: Identify if the sequence of arithmetic and geometric sequence?

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Q: Find the specified term of the arithmetic sequence that has the two given terms.a15; a3 = 7, a20 =…

A: Given for an A.P ,a3=7,a20=43 To find: a15 Solution: We know,nth term of an arithmetic sequence…

Q: If 4x,x+2 and x-5 form in arithmetic sequence,what is the value of x?

A: Given         4x  , x+2 and x-5 from in arithmetic sequence.      Since   4x  , x+2 and x-5 are in…

Q: Complete the explicit formula for the geometric sequence 5,10,20,40,80,... an

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Q: Given the arithmetic sequence an with a1 = -10 and d = -2, find ag. Provide your answer below: az =

A: Given a1= -10 , d= -2 and n=3

Q: Find the first term aj of the arithmetic sequence in which ag = 22 and a17 86. a1 =

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Q: 2. ,a = 12 %3D

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Q: Write an equation for each arithmetic sequence represented by the tables below.

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Q: tell whether the sequence is arithmetic.

A: (1) The correct option is yes. The first series is the arithmetic sequence. Find the nth term for…

Q: Write the arithmetic sequence – 5, 2, 9, 16, ... in the standard form: an

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Q: Write the arithmetic sequence – 11, – 3, 5, 13, ... in the standard form: an

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