Example 1.7.30. Find the erplicit formula for the sequence 2, 5, 8.11,..

Q: consider the sequence (a^n)n≥0 which starts 3,14,25,36,.... a. what is the next term in the…

A: Let an be the nth term of the sequence. First write the general term, an for the sequence and use…

Q: The simple formula for a, if the first 5 terms of the sequence {an} are 1, 21, 121, 621, 3121 is:…

A: We are asked to find which is correct for the sequence.

Q: e of 4,7,1

A: Introduction: A sequence is an arrangement of numbers in a specific order. A series, on the other…

Q: 00 In Write down the first five terms of the sequence 7/3 n +2 ) n=1

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Q: A sequence is defined recursively by an +1 = 3a, - n, a1 = 2. Find the first six terms of the…

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Q: 2. Suppose the expression n?+ 3n + 1 determines the nth term of a sequence. a) Find the first four…

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Q: Express the sequence {an}∞n = 1 as an equivalentsequence of the form {bn}∞n = 3. {n2 + 6n - 9}∞n = 1

A: Given

Q: 1 +(1)/(2), 1 +(3)/(4), 1 +(7)/(8), 1 +(15)/(16 Write an expression for thenth term of the…

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Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ... a = 32· 4"-1 %3D A a = 2.4"-1 a…

A: Given, the sequence                2,   8,   32,  128 ....... So , by observation 2 = 2. 40   8 =…

Q: 1. Which of the following functions can be used to generate the terms in the sequence 3, 5, 7, 9,…

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Q: Write an explicit formula for an, the n' th term of the sequence 4, –20, 100, ....

A: Here we have to write an explicit formula for an  In the given sequence    a1 = 4 , a2 = -20 , a3 =…

Q: The table below identifies the values for the first 5 terms in an arithmetic sequence. 1 2 3 4 Term…

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Q: th Write an explicit formula for an, the n' term of the sequence 4, –20, 100, ....

A: We have to find nth term

Q: 1 3? 4 1 1 5' 6 1 Find an explicit formula for the sequence , -,- 2? ..

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Q: 3, 7, 11, 15... Answer the following questions (part a in this problem and part b in the next) in…

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Q: 13. What is the twelfth term in the sequence an = 3n - 22? 09 0-7 O 14 O26

A: Find the twelfth term

Q: 1 3. Which of the following formula is the general term of the sequence 4. > 65 ? - 28 O a. (-1)"+1,…

A: Will try to recognise a pattern in the given terms to find the formula for general term

Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence…

A: The solution is given below:

Q: Let an be the n th element of the sequence 5,8,11,14,17,.., then an=d xn+c for constant values d and…

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Q: 4. The same strategy from the previous page can be used to find specific entries. Given the function…

A: 1. the given sequence is 3,6,9,12,... It can be seen that the sequence is…

Q: A formula for the sequence 0, 3, 8, 15, 24, is Select one: О a.(п - 1) (2n -1) O b.n(2n + 1) О с (п…

A: Given sequence is 0,3,8,15,24..... Now we can write, 0=1-13=4-18=9-115=16-124=25-1

Q: 4. If a1 = 2 and az = 3 and an = an-1 + 3an-2 for n> 2, a. find the first five terms of the…

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Q: 1 Find the twentieth term of the sequence an = 2 ( 0.1 )"

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 12. Find the first 5 terms of the sequence: 2n a, =(-1)" n +1 a) b) a, = 4a-5 and aj =1 | n-1

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Q: Which of the following is the correct recursive formula for the sequence: -1,-2, -6, -24, -120, ...…

A: Given a sequence : -1,-2,-6,-24,-120 We need to find the correct recursive formula for the sequence.…

Q: Write an explicit formula for the sequence: 1 1 9' 10 1 1 11' 12' 1 1 13 an = Preview

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Q: Find the first four terms in the sequence. 2" 3) а a 2n + 1

A: solution.

Q: Plot the first four terms of the sequence 3n2 – 3n + 2 2 n=1

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find a fomula for an given the few terms of the sequence. 1/2 , 1/4 , 1/8 , 1/16 , ....

A: We can solve the problem by obtaining the nth term of the sequence.

Q: Q2. a) Write the explicit formula for the nth term of the sequence below. 4, 6, 10, 18, 34, ... b)…

A: Find your answer below

Q: Write the first four terms of a sequence given the following information: a: = -2 and the recursive…

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Q: Find the formula of the general term an of the sequence 1 1 1 1 3 '5'7 '9

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Q: to show that the given sequence {an

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Q: Which of the following functions can be used to generate the terms in the sequence 1, 8, 21, 40, ..?…

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Q: 1 4 Find the explicit formula for sequences of the form a1, a2, a3.. with the initial terms =,- 9 16…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

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Q: Provide the first 4 terms of the sequence {an} = n", where n ≥ 1 {an} 1 4 = 27 Question 2 What is…

A: The solutions to the given questions are given below

Q: A. Write the first 5 terms of the sequence. 1. 0 = 4n – 3 n+1 2. 3. a = 8 - n

A: topic - arithmetic progression  note : As per bartleby guidelines, We are supposed to solve only…

Q: 1 The table below identifies the values for the first 5 terms in an arithmetic sequence. 1 2 3 4 5…

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Q: Consider the sequence 4, 11, 18, 25, … Give a closed formula for the nth term of the sequence (in…

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Q: a. Find an explicit formula for the sequence 1,-4,9,-16, ... b. Determine the first four terms given…

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Q: 1. A sequence is defined by the recursive rule c, =c, 2" with c, =5. Which of the following…

A: Given a sequence:    cn=cn-1.2n-1          and c1=5

Q: e) Suppose {a,}nEN is a sequence defined by a, = (a) Show that a, = 3- an-1+ 2. (b) Find (dn -…

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Q: Suppose Suppose a,= n2 – 2n + 4. Find a closed formula for the sequence of differences by computing…

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Q: The sequence given is defined using a recursion formula. Write the first four terms of the sequence.…

A: We will find out the required terms.

Q: write the first S terms of the sequence.assume that begins with 1. a=-5n +6

A: Substitute value of n for  sequence for finding first five terms.

Q: Find the formula of the general term an of the sequence: 1 1 1 1 9' רי 5' 3 ....

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Q: Find an explicit formula for a sequence of the form a a2, a3 with the initial terms given below. ...…

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Q: Write a recursive formula for an, the nth term of the sequence 2, 6, 10, ...

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