Consider the sequence 1 4 4' 5' 6' 7 1 2 1 2n-2 1 0, ... a2n-1 a2n 3 2n-1' 2n Which of the following is true?

Q: Find the simplest form of the general term for the sequence 12, 17, 22, 27, .... 5 n+ 2 10 n- 2 10…

A: Please refer the attached image for complete solution.        Given:      sequence:…

Q: A sequence is said to be decreasing sequence if Vn > 1 'n+1°n =S .a .b O n+1 2n.cO n+1 n+1d0 n

A: Option (d) is correct.

Q: 10 The sum of the series 5 – 3 40 + ... is 27 20 9. Select one: а. b. С. d.

A: Given s=5-(10/3)+(20/9)-(40/27)+.......

Q: (뉴 + 3) 1 Find the sum (if any) for En=1 7n 5n

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Q: Which of the following equations describes the nth term for the sequence O (3) -1(9)*** 4 1 1 1…

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Q: Give the common ratio of the * sequence 10, 2, 2/5 , .... O 1/ 5 O 5 O -5 O - 1/ 5

A: common ratio is the ratio of particular term to previous term.

Q: Find the first five terms in sequences with the following nth terms. a. 2n +3 b. 4n + 1 c. 10" -8

A: As per our guidelines we are suppose to solve only first three sub-parts of a question if the…

Q: Qw.146. explan the formula, the imags (a,b)and find the next sequence with its image

A: Ans- These are some of the identities related to the Fibonacci sequence, which is a sequence of…

Q: 13 57 6'10'14 18" 2n-1 1) The arithmetice sequence ,then a, 2(2n+1) true false

A: We have given the arithmetic sequence.  We have to find the nth term of the arithmetic sequence

Q: i) Find the general term (an) of the sequence 24 6 16 50 12 ' 3'3 7'21 69 17

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Q: 4 8 Suppose the sequence {b1, b2, b3, ...} is given by {-1, , 9' 27 Which, if any, of the following…

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Q: For the sequence an=-2an-1 and ao = -1, the values of the first six terms are ao = and a5 = a4= , a₁…

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Q: the smallest of the terms of the 2 sequence = n - gn-100 when iz is valuable n

A: The given sequence is,Xn=n2-9n-100

Q: For the sequence an

A: Given, the sequence      an=2(an-1-2), and a1=1

Q: tion 1 1) Write the next three terms of the following sequences. 3 4 5 Ка) 2, 4'9'16 ' ... a1 =2 (b)…

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Q: Write down the first five terms of the sequence an a₁ = 92 = a3 = 04 = a5 = (n+2)! 2n

A: The given sequence is; an=(n+2)!/2nFind next five terms.

Q: Find the sum of 1/7 + 3/7 + 32/7 + 32 /7 + ⋅⋅⋅ + (3)n-1 / 7

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Q: 2. Consider the following sequence of equations involving Fibonacci numbers: 1+2=3 1+2+5=8 1+2+5+ 13…

A: Solution:

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: Find the first five terms and the Sn of each of the defined sequence. 1. 3n+1 3. n2 +5n +6 mot 3-2n…

A: Since you only ask questions 2,3&4 so not answer question 1 Given Sn of the each the defined…

Q: Find an expression for the general term of the sequence: 4 7 10 13 - 3 9' 27' 81 3n + 1 O a,=(-1)"-…

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Q: In your own language, describe the pattern of the following sequences (The sequences are given as a…

A: We draw required connection between the pattern and formulas as below.

Q: 8] n=1 1 5n2 + 5n

A: To Find: The sum ∑n=1∞15n2+5n

Q: 3. In a geometric sequence, if az = -5 and ag = 40, determine a1, r, and an. Then write the first…

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Q: 4. Transform the following into Tn, the triangular numbers and use this to find the closed form of…

A: We have to find the nth term and closed form of sequence.

Q: What is the sum of 1/4 + 2/4 + 3/4 + 1 + 1 1/4 +… + 9 1/4 + 9 2/4 + 9 3/4 + 10?

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Q: 5. Find the sum: Σ n²+4n + 3

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Q: Write an explicit formula for am, the nth term of the sequence 35, 38, 41, ...

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Q: a. a₁ = 1, a2 = 2, an=2an 1+3an 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Question 67 Find the sum (4z2 - 5z) + (2z° - z2 + 3z) A. 6z3 - 6z B. 6z - z2 - 2z C. 2z3 + 3z2 - 8z…

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