For the sequence defined by: a1 = 2 2 an +1 - - an Find: a2 = a3 a4 = II

Q: Calculate the required term for the sequence with the following given: a1 = 4 , r=6 , a10 =?

A: If a, ar, ar2, ar3, ... are in geometric sequence with first term a1= a and common ratio r then the…

Q: Use a similar technique as in the previous exercise to find a closed formula for the sequence…

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Q: Find the number of terms in each sequence: Formula: a, = a1 (r-1) 2. (11, -22, 44, . , 704} 1. (4,…

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Q: Find the explicit formula for this polynomial sequence: 3, 24, 79, 180, 339, 568, 879, ..

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

Q: Write the first five terms of the sequence with the given nth term

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Q: For the sequence defined by: a1 2 4 - 1 an An +1 Find: a2 аз — A4 =

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Q: find a formula for the nth term of the sequence. 1, -1/4,1/9, -1/16,1/25, ...

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Q: For the sequence 3, -9, 27, -81, ... determine the general term and t,

A: The given sequence is                                   3, -9, 27, -81, ............ We have to find…

Q: For the sequence defined by: 4 +4 An An +1 Find: a2 %3D a3 %3D

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Q: Find a and az for the geometric sequence 6, a2, аз, —162,

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Q: Find the infinite sum of the geometric sequence with a1 = 3, r = if it exists. 8

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Q: find a formula for the nth term of the sequence. 1, -1, 1, -1, 1,....

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Q: a,=(- 1)" is a divergent sequence

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

A: Given: Sequence: {-1, 1, -1, 1, -1……. } 1) It is an infinite geometric progression in which:…

Q: Find the Z hransform of the casual sequence i Xx Y where XK = 4K- 29%

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Q: For the sequence defined by: a1 = 4 - 2 an an+1 Find: a2 : = az a4

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Q: For the sequence defined by: a1 = 2 1 + 2 an an +1 Find: %3D a4 -

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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: For the sequence -27, – 12, 3, 18, ..., the expression that defines the nth term where a, = -27 is…

A: A sequence is a function from natural number to real numbers. It is denoted by {an} where…

Q: For the sequence 2, 4, 8, 16 .. ., give a formula for its nth term:

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Q: find a formula for the nth term of the sequence. 0, 1, 1, 2, 2, 3, 3, 4,...

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Q: A Sequence is defined by the recusire rule Cn= Cn-1 , with Ci = 5 %3D which of the falawng %3D…

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Q: For the sequence defined by: a1 3D3 3 An+1 - an Find: a2 a3 %3D a4 II II

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Q: Find a formula for the general term an of the sequence 5 3 4 16 25 where a1 3 16 1* 36 49 , •.. an

A: The given sequence,      -316, 425,-536,649,.......

Q: Evaluate the series for the sequence:

A: Given,        5, - 10, 20, - 40, . . .  and       n = 17

Q: If the nth term of a sequence is (-1)"+1, which terms are positive and which are negative? п

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Q: Find the twelfth terms of the sequence described by the explicit formula f(n) = 7 - 2( n-1) %3D…

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Q: For the sequence defined by: 3 1 – 4 An An +1 = - Find: a2 = a3 %3D

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Q: For the sequence defined by: a1 =3 4 an+1= an 3D3 +1 Find: a2 = a3 =

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Q: For the sequence defined by: a1 = 3 1 - 3 An аn +1 Find: a2 аз = II II

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Q: find a formula for the nth term of the sequence. 0, 3, 8, 15, 24,....

A: Terms: 0, 3, 8, 15, 24, .... Difference of successive terms: 3 - 0, 8 - 3, 15 - 8, 24 - 15, .....…

Q: Let (an) be the sequence defined by a1 = 5 and an = 2an-1 – 3 when n > 2. What is a4?

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Q: For the sequence defined by: a1 = 4 an +1 - + 4

A: Given,          The sequence is defined by :            a1=4            an+1=5an+4

Q: Suppose that a sequence is defined as follows. a1=-2, for n>2 an= 3a,-1+2 List the first four terms…

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Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

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Q: For the sequence defined by: a1 = 2 5 An+1 = an - + 4 Find: a2 = az = a4 =

A: Find the values of a2 a3 a4

Q: Use the formula for the sum of the first n integers and/or the formula for the sum of a geometric…

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Q: For the sequence defined by: a1 = 2 2 An+1 = an - 5 Find: az = az = a4 =

A: Given : a1 = 2an+1 = 2an - 5

Q: Determine the formula for the following sequence −15,−12,−9,−6,−3

A: Since, we have been given the sequence as -15, -12, -9, -6, -3.Our aim is to construct the formula…

Q: Find the fifth terms of the sequence described by the explicit formula. f(n) = -9.2 -2.5( n-1) %3D…

A: Given function is f(n)=-9.2-2.5(n-1)

Q: find a formula for the nth term of the sequence. 5/1,8/2,11/6,14/24,17/120, ...

A: The denominator is in the form n!

Q: Find a formula for the nth term of the sequence 1, - 4, 9, – 16, 25, ..

A: We can find the nth term of the sequence. We notice pattern of the sequence.

Q: For the geometric sequence {4, 16, 64, 256, - . . .. -}, the term a17 O 4.418 O 4.45 O 4.43 4 - 416…

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Q: Solve for the Collatz sequence when C (0) = 16 using 3x + 1 sequence

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Q: For the sequence defined by:

A: we have been given the (n+1)th term of the sequence. Given: a1=4an+1=2an+2we have to find a2,a3,a4.

Q: find a formula for the nth term of the sequence. 1/25,8/125,27/625,64/3125,125/15,625, ...

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Q: Find the indicated term of the sequence whose nth term is given by the formula. an = (-1)" -1(n -…

A: Consider the nth term of the sequence We have to find 26th term of the sequence i.e.

Q: For the sequence defined by: a1 = 2 1 +5 Find: a3

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Q: For the sequence defined below, find the term a 4 ao = 1, a1= 4, an=2an-1-an– 2

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Q: Find a closed formula for the sequence (Cn)neN defined as follows: if n = 1, Cn = if n = 2, 8. Cn-1.…

A: As per the question we are given a piece-wise defined sequence (cn) and we have to find a closed…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.