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: Write the first six terms of the arithmetic sequence with the given first term, a,, and common…

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Q: Refer back to the previous question with the following sequence: 3, 7, 11, 15... Part b) Write and…

A: According to questionSequence 3,7,11, 15...

Q: Find the next three terms (a3, a4, and as) of the following sequence: a1 = 2 and az = 1, and for all…

A: Explanation of the answer is as follows

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Q: List the next four terms in the sequences with the given rule a. Start at 0 add three B. Start at…

A: Given: Sequences which, Start at 0 and add three. Start at 0 and add six. To find: Next four…

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: Evaluate S10. the sum of the first ten terms of the arithmetic sequence. a, = 3n, a40 = 11a %3D

A: To Evaluate S10 Given:  a1 =3π ,   a10 =11π Let a be first term and d be common difference of…

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: a) Write an algebraic expression for the nth term of this sequence. Figure 1 Figure 2 Figure 3 b)…

A: The pattern of the Z counters is given, we have to find the algebraic expression for the nth term of…

Q: Find the sum of the first 21 terms of the arithmetic sequence given by the formula a₁ = n + 5 O 273…

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Q: make a sequence formula using the following data: day 1 - 15 day 2 - 45 day 3 - 105 day 4 - 225…

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Q: Lakeisha wants to put down new tile in her home. The tile costs $3.50/ft2 and labor is $4.00/ft2.…

A: Given,           Lakeisha wants to put down new tile in her home. The tile costs $3.50/ft2 and…

Q: 1. Classify the sequence and find the ninth term. Explain each step. -5, 15, -45, 135, –405,...

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Q: Find the indicated term in each arithmetic sequence

A: Given, To evaluate 9th term of  arithmetic sequence

Q: Write out the sequence that can be described by the explicit definition: an n? + 2n ?

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Q: Enter if the sequence below is: Arithmetic, Geometric, or Neither: -5√5,25,-25√5,... Enter the next…

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Q: Write the explicit formula for the sequence 3, 7, 11, 15, 19, 23, ...

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Q: Write the first four terms of the sequence whose general term is given below. an = n (n-1)! a₁ =…

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Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

Q: 2. Write the general term for each arithmetic sequence in simplified form. a.) ti-6 and d = 2 22…

A: Solution :- 2 Question a) t1=-6 and d = 2General term of arithemetic sequence is given as :-tn= a +…

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

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

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Q: Find the missing variable in the geometric sequence and write the first few terms of the sequence

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Q: 1. Fill in the next two blanks in the sequence 8, 4, 2, 1, (You may use decimals or fractions...…

A: Given:- 8,4,2,1,_,_ To find:- Next two of given sequence

Q: nswer the ff. a. Find the formula for the nth term of the geometric sequence 8, 24, 72,… b. Find…

A: (a)  Given geometric series is                  8,24,72,......      Since we know that general…

Q: Find the 60th term of the sequence 5, -2,-9,-16,... O a-478 O b.non of them

A: Here given as 5, -2, -9, -16, ...... The first term of sequence is a1=5, Also the common difference…