Find the first 4 terms of the recursively defined sequence. a1=4, a 2 = 5, an+1=an+ an-1

Q: Find the 12th term of the geometric sequence 1, –4, 16, ...

A: Given  Geometric sequence   1,-4,16..... To do find the 12th term of the given sequence.

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....

A: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....…

Q: Write a recursive formula for each sequence. 4, 12, 36, 108, ... 9,4,-1, -6, ... %3D |for n z 2 O…

A: The given sequence,1. 4, 12, 36, 108,.....2. 9, 4, -1, -6,.......

Q: Write the first four terms of the sequence whose general term is given an = 2n/(n + 4).

A: The given sequence is an=2nn+4. Compute the first four terms as follows.

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

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Q: Find a formula for the nth term of the geometric sequence. 16, 8, 4, ...

A:

Q: Find the infinite sum of the geometric sequence with a = 6, r 2 if it exists.

A: Here,  a=6, r=2/6

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

A:

Q: Find the 11 term of the following geometric sequence. 3, 6, 12, 24, ...

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

A: Given series and their first term are: an = 2an-1 + 5  and  a1 = 3   for n≥ 2 To find the second…

Q: Find the 12th term of the geometric sequence 5, 20, 80, ...

A:

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: Find the first four terms of the sequence given by the following. an=2(5)", n= 1, 2, 3...

A: SOLUTION-

Q: Find the indicated term for the given arithmetic sequence. The 70th term of - 1, - 8, - 15,... a70 =

A: We have to find 70th term of given sequence.

Q: 3(-1)" 3. а, n!

A:

Q: Find the value of the first four terms of the sequence: an 1 and a = 1. 1+an-1

A: We plug n=2 to find the second term

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

A:

Q: Find the first four terms and the eighth term of the sequence.{12 - 3n}

A: Find the first four terms and the eighth term of the sequence.{12 - 3n} Given, an=12-3n To find a1,…

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

A:

Q: Find the sum of the first 30 terms of the arithmetic sequence. an = -3n + 27

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Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = (-1)n/3n…

A: The general term given is an=-1n3n-1.

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: Find the nth term, the fifth term, and the eighth term of the geometric sequence.1, -√3, 3, -3√3,...

A: The given sequence is 1,  -3,  3,   -33,  ⋯⋯. Common ratio is r=-31=-3 and first term is a=1.

Q: Find the first 4 terms of the recursively defined sequence. a, =3, a2 =4, an +1=an + an-1 a3 = II

A: The given recursive formula is an+1=an+an-1 we substitute n=2,3 to obtain the first four terms of…

Q: Find the first 4 terms of the recursively defined sequence. a =3, a2 =4, an +1=an + an-1

A: Topic- recursive sequence A3 =7

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.3, 2.7, 2.4,…

A: Given information: The arithmetic sequence is 3, 2.7, 2.4, 2.1,.... Concept used: The nth term of…

Q: Write out the first four terms of the sequence given the following recursive definition: tne1 =…

A: # the given initial value is a1=8 . considering it as t1=8 given the relation tn+1=-2tn+6 substitute…

Q: find the first five terms of the geometric sequence.

A:

Q: Write the first five terms of the geometric sequence. an = 5an-1; a1 = 4

A: Fro the given problem: an=5an-1  And a1=4 So, The 2nd term is: an=5an-1    a2=5a2-1a2=5a1a2=54=20

Q: Find a formula for the nth term of the geometric sequence 1600, -400, 100, -25......

A:

Q: The tenth term of an arithmetic sequence is 23, and the second term is. Find the first term. X

A: Let's find first term of arithmetic sequence.  Tenth term = 73/2 Second term = 9/2

Q: Find the 14 term of the following geometric sequence. 4, 8, 16, 32, ... O

A: The geometric sequence is given as: 4, 8, 16, 32, …. We need to calculate the 14th term of the…

Q: B. Write a formula for the general term of each infinite sequence. 1. 3, 5, 7, 9, ... 2. 1, 4, 9,…

A: As per the company guidelines we are suppose to answer first question of two subparts.Kindly repost…

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: 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 a formula for a, for the arithmetic sequence.

A:

Q: Choose the explicit and recursive formulas for the geometric sequence 45, 135, 405, 1215, 3645, ...…

A: The geometric sequence is given by 45, 135, 405, 1215, 3645, ....... To evaluate : The explicit and…

Q: Find the firstive terms of the recursive sequence 2 a, -3 a,-2a+1

A: The terms of recursive sequence can be obtained by substituting the value of n, the the value of…

Q: Find the first six terms of the recursive sequence.  a1=1, a2=2, an+2=an+1+2an

A:

Q: Write a recursive formula for the sequence 8, 10, 12, 14, 16, .. Then find the next term.

A:

Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = 2n + 5

A: Write the first four terms of the sequence whose nth term, or general term, is given: an = 2n + 5

Q: Find the 22" term of the arithmetic sequence whose common difference is d=2 and whose first term is…

A:

Q: Find the 6th term of a geometric sequence with a 1 = −3 and r= 2.

A: Find the 6th term of a geometric sequence with:

Q: Give the first five terms of the sequence: a, = n° -2n %3D

A: Given,           The sequence is an=n3-2n.

Q: 3. -5, 15, -45,... n = 7

A:

Q: Write the first four terms of the sequence whose general term is given an = 3n/(n + 5).

A: The given general term of the sequence is, an=3nn+5 The objective is to find the first four terms of…

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.