Based on the input/output chart below, answer the following questions in the space provided below. Find an explicit formula for the arithmetic sequence. Then, find the 100 term. Input 1 2 3 4 Output An) 18 8 -2 -12 a. What is the common difference between each term? b. What is the first term or a, ? c. What is the explicit formula for the arithmetic sequence? d. What is the 100h term? Show your work in the space provided.

Q: Find a formula for the general term an of the sequence (starting with a1):…

A: Consider the given sequence,-3/2, -1/6, 1/12, 3/20, 5/30,…The above term of the sequence is also…

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

A: The series can be written as follows in expanded form: 31+2+32+2+33+2+......+316+2…

Q: For Exercise, find the indicated term of a geometric sequence from the given information. and r =…

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Q: Given the recursive rule for an arithmetic sequence, write the explicit rule. 5. f(1) = 19 and f(n)…

A: Question number 5,Given,          f1=19 and fn=fn-1-10 for n≥2

Q: Write the explicit form for the nth term of the following geometric sequence.  4,15,45,135…

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Q: Determine whether each sequence below is arithmetic, geometric, or neither. Provide support for your…

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Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

A: given series :

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

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

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

A: Our Aim is to find the eigth term of the geometric sequence given that:-a2=-9 and r=13

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

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Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

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Q: An arithmetic sequence is given below. 18, 14, 10, 6, ... Write an explicit formula for the n th…

A: Given: An arithmetic sequence : 18,14,10,6, ... To find: An explicit formula for the nth  term an.

Q: An arithmetic sequence is given below. 16, 20, 24, 28, Write an explicit formula for the n th term…

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

Q: Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −6 such…

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Q: Based on the input/output chart below, answer the following questions in the space provided below.…

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Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

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Q: Draw the missing figure on the sequence below and provide solution/explanation:

A: The pattern in a sequence of images determines the nature of the next image. The shapes, angles etc.…

Q: 3 Answer each question based on the following arithmetic sequence. 13, 10, 7, 4, ... a) What is a1 ?…

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Q: Answer each of the following questions based on the pattern below : a) the sequence arithmetic or…

A: In the third figure there are 7 boxes, in the fourth figure there are 10boxes and in the fifth…

Q: The non-recursively defined formula for writing an arithmetic sequence is given by: an = C+ (n -…

A:

Q: Find a formula for the general term an of the sequence, starting with a1.{3,−3,3,−3,…}.

A: Given sequence is,

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: Given that a is an arithmetic sequence, a1=6 and a10=60, what is a21?

A: Given arithmetic sequence in which we have a1=6 and a10=60. To find: a21 Solution: In arithmetic…

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

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Q: 1 2 {- 4'9 16'25' 3 4 ..}

A: Given data:     The expression for the given series is: {-1/4, 2/9, -3/16, 4/25….}     The given…

Q: Find a formula for the general term an of the arithmetic sequence (starting with a1)…

A: a1=7a2=10d=a2-a1=10-7=3

Q: 5. a; = 9 and an= 3an-1-1, for n> 1

A: Topic :- Sequence and series  First three terms 26,77,230,.......

Q: Find the fifth terms of the sequence described by the explicit formula. f(n) = -9.2 -2.5( n-1) %3D…

A: Given function is f(n)=-9.2-2.5(n-1)

Q: Based on the input/output chart below, answer the following questions in the space provided below.…

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Q: Write a recursive formula for the geometric sequence an given below. 10,10/3,10/9,10/27,10/81,…

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Q: both questions

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Q: Use the formula for the sum of a geometric sequence to write the following sum in closed form. 4 +…

A: The given sum is 4+42+43+⋯+4n where n is any integer with n≥1. Express the following sum in closed…

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: For Exercise, find the indicated term of a geometric sequence from the given information. 16 and r =…

A: We will use the term formula of geometric series And use n=5 in it

Q: Show that the given sequence is arithmetic, and find the common difference.53, 48, 43, . . . , 58 -…

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: answer is in next step . please give a like !!

Q: Find the explicit formula for the general nth term of the arithmetic sequence described below.…

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Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

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Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.a1 = 40, d = -3, n =…

A: Formula to find the sum of arithmetic series helps to find the required sum. Formula to find the…

Q: Given the following information about the arithmetic sequence an, find a17 . a6 = 8 a12 = 20

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Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

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Q: Given the geometric sequence an with the following information, find a7. az 60 160 a6 Provide your…

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Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

A:

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

A: a=2, r= -5   an = a rn-1   an = 2*(-5)n-1 nth term of geometric sequence

Q: For Exercise, find the indicated term of a geometric sequence from the given information. and r = 64…

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Q: The general term of the Fibonacci sequence is: A) F, = V5 A-V6((노)"- (보)") B C ()" - (→4)") D

A: given,