Let (a,) be the sequence defined by a¡ = 5 and a, = 2a,-1 – 3 when n > 2. What is a4?

Q: 2. Find the first 4 terms and the 40th term of the arithmetic sequence: = 67.3 – 4.7n - a1 = a2 = az…

A: To find the terms of the given arithmetic sequence, substitute n=1,2,3,....  in the given nth term…

Q: 14. 1,3,9, Type of Sequence: General Form:

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Q: The first 2 terms of the Fb sequence are: 1, and 1. Find the 14th and 16th terms of the Fb sequence.

A: The first 2 terms of the Fb sequence are: 1, and 1. So we can write the rule: The Rule is xn = xn−1…

Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

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Q: Find the generating function for the sequence 1,−2,4,−8,16,….

A: The general expansion of the binomial (1-x)-1 will be, (1-x)-1=1+x+x2+x3+….

Q: Choose the sequence that is written in increasing order. Select one: -3 -18 9 23 -1 8-3 23 2 -3 8 2…

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Q: 5n +(-1)" is a monotonic sequence 3n O True O False

A: A sequence is said to be monotonic if it is always increasing or decreasing.

Q: i need the answer quickly

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Q: (X) 16 (D) 16 (E) 256 26. The sequence A is defined by A 100 terms in sequence A? A +2 for each…

A: Given, A_1=45 and An=A_(n-1)+2. Using n=2,3,4,.. in this expression we get: A_2=47,A_3=49,A_4=51,...…

Q: Which sequence could be described by the recursive definition: tn+1 = -1(tn) + 3 O A. (-9, 6, -3, 0,…

A: Given recursive formula is tn+1=-1tn+3.

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: determine the closed formula that generates the sequence 1,2,4,8,16,32

A: The given sequence in the question is:

Q: Which sequence has a common difference of -3? 28, 25, 22, 19, … 22, 25, 28, 31, … -99, 33, -11,…

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Q: 7 11 a, for 1,- '3'3

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Q: Which of the following is the value of x to make x + 1, 4x – 7, 2x + 5,… an arithmetic sequence.

A: We will find the value of x for which the given sequence will be  an arithmetic sequence as…

Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

Q: Find the 53rd term of the arithmetic sequence 27, 11, -5, ...27,11,−5,...

A: The given arithmetic sequence is  27, 11, -5, ...............  The first term a = 27 difference d =…

Q: 3. State the next two terms of this sequence: 1, 3, 6, 10, 15 ...

A: We have the sequence 1 , 3 , 6 , 10 , 15 , ....... We can see the difference between each…

Q: Determine whether the sequence an= 5n+3 Justify your answer. is monotonic. Is it bounded?

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Q: Write the arithmetic rule of the sequence for the nth term 9, 13, 17, 21,... O 4+ 9(n - 1) An + 6

A: To find the nth term of the sequence: 9,13,17,21.. Solution: We know, the nth term an of an…

Q: what notation is used in sequences and functions?

A: To define: Notations used in sequences and functions.