Write down the first five terms of the following recursively defined sequence. a1 = 3; an1= -2a, + 3

Q: Write the first four terms of the sequence whose general term is given an = (-1)n+1(n + 4)

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Q: Find the first four terms of the sequence given by the following. an = 38 - 7 (n-1), n= 1, 2, 3

A: Given  an= 38-7(n-1)

Q: Find the correct recursive formula of the given sequence. 3, -2, -7, -12,

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Q: Write the first five terms of the geometric sequence. a1=3, r= 2x

A: If a1 is the first term and r is the common ratio of a geometric sequence then the sequence is given…

Q: Write the first four terms of the sequence defined by the recursion formula. a1 = 3 and an = an-1 -…

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Q: Write the first four terms of the sequence whose general term is given, a1 = 4 and an = 2an-1 + 3…

A: The general term is: Given [n=1]: Now, put n=2 in the general term, we get:

Q: Find these terms of the sequence (a where an=2-3)"5"

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Q: Write the explicit form for the nth term of the following geometric sequence.  4,15,45,135…

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

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Q: Write the first four terms of the sequence whose general term is given, an =(-1)n+1/2n

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Q: 1. a, =1-(0.2)"

A: The first five terms are found in step -2.

Q: Write the first four terms of the sequence whose general term is given an = 4n - 1

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Q: Find the explicit formula for the Arithmetic sequence. -5, 2,9, 16, ...

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Q: Find the first four terms of the sequence in which a1 = 5 and an = 3an-1 + 2 for n ≥ 2.

A: Consider the following equation: an=3an-1+2          for n≥2                        ...... 1a1=5…

Q: Find the missing terms of the geometric sequence given 1, -2, .., -32 and that -32 is the 6th term…

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Q: For Exercise, write the first five terms of the sequence defined recursively. 1 b1 = 10; b, = ba-1

A: Given sequence defined recursively as  Substituting n=2,3,4,5, we get

Q: Write the first five terms of the recursively defined sequence. 1. 2 21 = 14, ag+1= a, = a3 as || ||…

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Q: Find the first four terms of the sequence defined recursively. an-1 ). a¡= -1, an= 3an-1 11. a¡ = 5,…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: 3(-1)" 3. а, n!

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Q: Write the first five terms of the recursively defined sequence. 1 a, = 6, ak+1 3 a, = a2 %D a3 a5 4.

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Q: Write the first five terms of the sequence given by an = 3^n +1 /n! ,Begin with n=0

A: Given sequence is an=3n+1n! and begin with n=0 Substitute n=0 a0=30+10!=1+11Since, 0!=1=2 Hence,…

Q: Find a, and a7 for the following geometric sequence. a = 108, r= -3 %3D %3D in- 1

A: Given: a4=108   r=-3

Q: - Write out the first 5 terms of the following sequence: (-1)"+'an a1 = 2, an+1 =

A: Write out the first 5 terms of the following sequence a1=2, an+1=(-1)n+1an/2

Q: Write the first five terms of the recursive sequence. 1 a1 = 3 and an+1 = 1+ An -

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Q: Write a recursive formula for the following arithmetic sequence. 11, 6, 1, -4, ... %3D for n 2

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Q: . a, = 4 anei a, a,-1

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Q: Write the first four terms of the sequence defined by the recursive formula a1 = −14    ,    an  =…

A: Given :a1=-14an=2+an-12

Q: Write the first four terms of sequence whose general term is given an = (-3)n.

A: an=(-3)n

Q: Write a recursive formula for the following arithmetic sequence. -7, -10, –13, -16, ... O for n 2 2…

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Q: For an arithmetic sequence, a17 = 2. If the common difference is 5, find: aj = the sum of the first…

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Q: Write the first three terms in each of the sequence defined by the following: (i) a, = 3n + 2 (ii)a,…

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Q: Write the first six terms of the sequence defined by a1 = −2, a2 = 3, an= −2 + an−1for n ≥ 3.

A: It is given that, first term of the sequence is (a1) = -2, second term (a2) = 3 and the sequence is

Q: Write the first five terms of the sequence whose first term is 9 and whose general term is An-1 if…

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Q: Find the sum of the first 50 terms of the arithmetic sequence. an -5n – 6 ||

A: The arithmetic sequence is given by an = -5n-6 To evaluate: The sum of the first 50 terms of the…

Q: Find the 22 term of the arithmetic sequence whose common difference is d=4 and whose first term is…

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Q: - a, =3 a = 2a, -1

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Q: Write the first three terms of the sequence defined by the recursive formula. a₁ = 5 an = -2an-1 +…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the missing term or terms in each geometric sequence.   ex1: ..., -4,blank, -144,... ex2:…

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Q: Write the first five terms of the geometric sequence. a1 = 25, r= -

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Q: For each sequence, determine whether it appears to be arithmetic, geometric, or neither.…

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Q: Find the sum of the first 50 terms in the sequence 2, 6, 10, 14. a. 5000 b. 198 с. 2500 d. 500

A: Given sequence is 2,6,10,14,... here the first term a= 2 common difference d=4 we have to find sum…

Q: Write a recursive formula for the following arithmetic sequence. 10, 4, -2, -8, ... |for n z 2 a

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Q: Find a, and r for the following geometric sequence. a2 = - 5, a5 = - 135 a, = r=

A: given: a2=-5 and a5=-135 we have to find a1 and r for the geometric sequence.

Q: Find the 80th term of the following arithmetic sequence 18,22,26,30

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Q: Find the following: (a) Sum of the first 21 terms of the sequence: 5,9, 13, 17,...

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: a, = 10 a, = a„-1 + 2n

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Q: For Exercise, write the first five terms of the sequence defined recursively. di = 30; d, = d,- - 1

A: We plug n=2 in the given formula and d1=30

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.