The sequence shown below is defined using a recursion formula. Write the first four terms of the sequence. a1 = 13 and a, = an - 1 +9 for n> 2

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: The sequence shown below is defined using a recursion formula. Write the first four terms of the…

A: Given an= an-1+6  a1= 4

Q: Find the 7th term of the geometric sequence shown below: -5x^5, 10x^10, -20x^15,...

A: The given sequence is -5x5,10x10,-20x15,...

Q: Write a recursive formula for the arithmetic sequence rn given below. 13,5,−3,−11,−19,…

A:

Q: Write a recursive formula for the sequence 15, 26, 48, 92, 180, .... Then find the next term.

A:

Q: Find the explicit formula for the arithmetic sequence Cn given below - note that c1=−4.…

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Q: Write the sequence in recursive form. Make sure to state the initial conditions a, - 4(3)" for n > 1

A: Given- an=4(3)n-1 for n≥1 We have to write the given  sequence in recursive form and to state the…

Q: Write an explicit formula that represents the sequence defined by the following recursive formula: =…

A:

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

A: Given a1=7 and an=an-1+1

Q: Find an explicit formula for the arithmetic sequence Cn that is given below. Note that C1 = -2.…

A: you can clearly understand if you follow the below solution

Q: Given the sequence an defined recursively below, find a3.   a1 = - 3 an = -an -1 + n - 3

A: Here we have to find third term of the given series.

Q: Given the sequence an defined recursively below, find a4. 3 а, %3D —За,-1 — а,-2 — 2 аn-2 — 2

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Q: Write a recursive formula for the arithmetic sequence rn given below. 13, 5, –3, –11, –19, ...…

A:

Q: Write a recursive formula for an, the n" term of the sequence 17, 21,

A: Given that: The series is : 17, 21, 25, ....

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

A: Geometric Progression (G.P.)First term - acommon ratio = rG.P. = a, ar , ar2, ar3 , ....nTh term…

Q: Consider the sequence whose nth term is an = 4n - 3. Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: The sequence is defined using recursion formula. Write the first four terms of the sequence: a1 = 12…

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Q: The sequence is defined using recursion formula. Write the first four terms of the sequence: a1 = 3…

A: we have been given recursion formula : an = 4an-1 for n ≥ 2 a1 = 3  we have to write the first four…

Q: Create an explicit equation for the recursively-defined sequence below. **Optional table** to help…

A:

Q: The sequence shown below is defined using a recursion formula. Write the first four terms of the…

A: Solve

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: The sequence is defined using recursion formula. Write the first four terms of the sequence: a1 = 4…

A: The first term is a1 = 4  and an = 2an-1 + 3 for n ≥ 2

Q: Write an explicit formula that can be used to find the value of an, the n th term in the sequence.…

A: Given : a = first term = 512 common difference ==6-512=12

Q: Q2. a) Write the explicit formula for the nth term of the sequence below. 4, 6, 10, 18, 34, ... b)…

A: Find your answer below

Q: Write the first four terms of a sequence given the following information: a: = -2 and the recursive…

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Q: Write an explicit formula for the sequence represented by the following recursive formula.

A: Given recursive forman=15(an-1)a1=185

Q: An arithmetic sequence with a5 = 12 and a12 = 40 can be written in the form an = dn + ao %3D where d…

A:

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

A: The given recursive formula is                a1=6 and an=-4an-1 The given sequence is a geometric…

Q: Find the term a4 for the sequence defined below:           a1 = -2                   an = 5an-1…

A: Given The given expressions are an=5an-1+10 and a1=-2.

Q: The sequence shown below is defined using a recursion formula. Write the first four terms of the…

A:

Q: Write a recursive sequence that represents the sequence defined by the following explicit formula:…

A: topic- sequence and series

Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 5…

A: Given that, an=3an-1-1a1=5

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

A:

Q: find the arithmetic sequence. formula for an for 8,1,6,-13,-20...

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Q: Use the recursive formula to find the first 5 terms of the sequence ak+1 = ak-1+ ak a1 = 2, a2 = 3

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Q: Consider the recursive form of a geometric sequence. Starting at 2. NEXT = 4 x NOW. Which is the…

A: Given :  Recursive form of geometric…

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: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 5 5 15,…

A: Consider the sequence, 15,  -5,  53,  -59, ......................... The sum of the first “n” term…

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

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Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

A:

Q: Write a recursive sequence that represents the sequence defined by the following explicit formula:…

A: In this question we have to find a1 and an term

Q: Find the first five terms of the given recursively defined sequence. 2an - 1 + 6 and a₁ = 2 n- a₁ a2…

A: Given     an = 2an-1 + 6    and a1 = 2 We need to find a1, a2, a3, a4, a5

Q: Consider the sequence whose nth term is an = 4n - 3.Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: an=4n-3. Put n=1, 2, 3, 4, 5 in an=4n-3, we get a1=41-3=1a2=42-3=5a3=43-3=9a4=44-3=13a5=45-3=17

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

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Q: a) Find the fifth term of the sequence

A: Part a,Given,           The sequence is 169,3115,4621,6127,.....To find : Find the fifth term of the…

Q: Find a formula for the nth term of the sequence. - 1, 4, - 9, 16, - 25, ... Determine the sequence's…

A: Given sequence is -1             4                 -9                16              -25 By…

Q: Write the fifth term of the recursively defined sequence. Use fractions where applicable. -1, a1 a2…

A: Given

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

A: a1=10 and an=an-1+2