Find an explicit formula for a sequence of the form a an 1 + 1, 1 6 + 1 1 ㄹㅊ + 1 1 3' 8 11 221 231 1 1 1 1 + 49 호 10 + 긍 with the initial terms given below.

Q: 1. Write the first five terms of the sequence defined by i) a, = (-1)"+1 Li. ii) b, = . 2. Find a…

A: Given: Question 1(i)  an=(−1)n+11+nn!(ii)  bn=2nn!find five termsQuestion 2(i)…

Q: Prove {-23n +5} n=1 to infinity tends to negative infinity. (question is not incomplete, this is the…

A: Given sequence is an=−23n+5. We have to prove that sequence an tends to -∞ that is we have to find…

Q: O Write the first five terms of each sequence. a) a, 2"-1,n21, b) b, = b +b 2,b, =1,b, 2, n23.

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Q: Find an  for the sequence 1/1 -22/2x1 +33/3x2x1 - 44/4x3x2x1, +...

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

A: Here an be the given sequence which is defined by a1=5 and an=2an-1-3 when n≥2 . We have to find a4…

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: The sequence a,,a,a...... is defined as a₁ =n² +3n nez' i. Find the first four terms of the…

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Q: erms a1, a2, 43,., IS deni an = 2", for n 2 1. The sequence B, with terms b1, b2, b3, .., is defined…

A: Given :-  The sequence A , with terms a1 , a2 , a3 , ..... are defined by  an = 2n for n ≥ 1. The…

Q: lease solve for e, The sequence is 1,3,6,9,12,15,... t

A: (e) Given,                      f(x)=1+x+x2(1-x)2

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: 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: 14. Write a recursive formula for the sequence a) 3, -5, -13, -21,... b) 6.-2, 3, .

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Q: 4. Find the value of x so that x+7, -x-1, x+ 13,.. shall form a geometric sequence.

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Q: sequence is a mapping from the natural numbers to the real numbers

A: Introduction Sequence Any mapping from the set of natural numbers to the set of real numbers is…

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

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Q: Give an explicit formula for an, the apparent   nth term in the sequence 7, 17, 7, 17, 7, 17...

A: .

Q: Write an explicit formula and a recursive formula for the following sequence: 32, 26, 20, 14, 8,.…

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Q: 2) A sequence is defined using a recursive definition as: a = 5, a, = 11, and a, = a,-1+ 2a,,-2…

A: given: A sequence is defined using a recursive definition as : we have to determine the value of .