n Gabriella's first birthday her parents gave her a $50 savings account. On every birthday after that her parents added to the account, increasing the amount they deposited by $25 each year. Complete the recursive definition for the sequence that represents this situation by finding the values for a1 and d.

Q: A runner is training for a marathon. The first week, she runs 3 miles during each training session.…

A: an = a+(n-1)d

Q: Write the first four terms of the sequence defined by the recursive 2+an-1 formula a1 = -14 . /(5…

A: The solution are next step

Q: Given the 10th term of arithmetic sequence is 29 and the 18th term is 85, find the expression for…

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Q: In an arithmetic sequence (a1, a2, a3, the first term is 5 and the 15th term is 61, then S15 is 555…

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Q: What are the terms a₀, a₁, a₂, and a₃ of the sequence {aₙ}, where aₙ equals a) 2n = 1? b) (-2)n?…

A: We have to find a0, a1, a2, and a3 of the sequence an.For this, we will substitute n=0, 1, 2, 3 in…

Q: For an arithmetic sequence, a10 = 58. If the common difference is 3, find: %3D a1 %3D the sum of the…

A: Arithmetic Progression is sequence of numbers where any two consecutive number  difference is same.…

Q: Find the first four terms of the arithmetic sequence. a1 = -9, d= 8 What is the first term? a1 -

A: Consider the provided information, a1=-9  and d=8 Find the first four terms of the sequence. Using…

Q: Ten-foot lengths of 2 x 2 lumber are to be cut into five pieces to form children’s building blocks;…

A: The given length of the log is 10 ft. We have to cut the log into 5 blocks, such that the lengths of…

Q: For the sequence an = an-1+ an-2 and a1 = 3, a2 = 4, its first term is its second term is its third…

A: The sequence an=an-1+an-2 and a1=3, a2=4

Q: The first three terms of an arithmetic sequence are given. Find an expression for t in n terms of n,…

A:

Q: th For a given arithmetic sequence, the 40 term, a, is equal to -324, and the 72n term, a,, is equal…

A: Arithmetic sequence: In an arithmetic sequence a1, a2, a3, ……, an, an+1, ……, the difference ai-ai-1…

Q: . Recursively, find the missing term of the arithmetic sequence with the following given that a₁ =…

A: We have a1=5 , a2=11 , a7=? . To find the 7th term of the given arithmetic series .

Q: an=lo-4 (-1)n Findthe first 10 terms of the sequence

A: Given, an=10-4-1n Now plug n=1 we  get, n=1 ⇒a1=10-4-11⇒a1=10--4=14n=2 ⇒a2=10-4-12⇒a2=10-4=6n=3…

Q: Phil bought a car by taking out a loan for $24,900 at 0.5​% interest per month.​Phil's normal…

A: the given recursive formula is  here we have

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: 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: Find the first six terms of the recursive sequence. a1 = 4, 32 = 1, аn+1 = an - an-1 31 = 32 a3 = 34…

A: The given sequence a1=4, a2=1, an+1=an-an-1 we have to find the first six terms of the sequence

Q: For an arithmetic sequence, a4 = 60. If the common difference is 7, find: aj = the sum of the first…

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Q: For an arithmetic sequence, a1 = 52. If the common difference is -1, find: a1 = the sum of the first…

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Q: For the sequence a, = an-1+ an-2 and a1 = 2, a2 = 3, its first term is 1 its second term is 2 its…

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

A: We have to write an explicit formula that represents the sequence defined by the following recursive…

Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

Q: 13. For a given arithmetic sequence, the 6th term, a6, is equal to -15, and the 36th term, a36, is…

A:

Q: For a given arithmetic sequence, the 38th term is equal to -156 and the 79th term is equal to -361.…

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Q: For an arithmetic sequence, a11=54. If the common difference is 5, find:  a1= the sum of the first…

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Q: Find the 12th term in the arithmetic sequence an = 3 − 6(n − 1).

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Q: In an Arithmetic Sequencea1, a2,.an, the first term is 7 and the 11 term is 57, then S is

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

Q: for the sequence a^n = a^n-1 + a^n-2 and a^1 = 3, a^2 = 4, its first term is _________ its second…

A: Note: It is assumed that the sequence is an=an-1 +an-2 and a1=3 , a2=4 .   The nth term of a…

Q: For the sequence defined by An = n° + 4n +1, simplify completely an properly formatted mathematical…

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Q: Phil bought a car by taking out a loan for $19,100 at 0.9% interest per month. Phil's normal monthly…

A: Given,  B0 = $19100  Bn = 1.009Bn-1 - 534.02 We have to find B1 i.e  Phil's balance after making the…

Q: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = -0.6, a2 = -14…

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Q: Find the indicated term of the arithmetic sequence a1 = 5, d= 3, a4= ?

A: Given First term a1=5Common difference d=3

Q: On Gabriela’s first birthday, her parents gave her a $50 savings account. On every birthday after…

A: On the first birthday, the amount deposited is $50. This is initiate amount.   On every birthday…

Q: both questions

A: If a1 is the first term of arithmetic sequence and d is common difference, then n th term of…

Q: Given the first term and the common difference of an arithmetic sequence find the first five terms…

A: 1). We know that the common difference  d = 10 and a1=28 .The general formula for an arithmetic…

Q: What are the first five terms in the recursive sequence defined by the following? a1=1 a2=1…

A: The given recursive sequence is  an = an-2 + an-1  ..... (1) a1 = 1,  a2 = 1

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

A: topic- sequence and series

Q: Click an item in the list or group of pictures at the bottom of the problem and, holding the button…

A: The given sequence is a, a+4, a+8

Q: In an arithmetic sequence the2ndterm is 5 and the3rdterm is 11. What is the20thterm?

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Q: Find the 15 term of the arithmetic sequence 1.18, 1.26, 1.34, ... the 15h term is

A: topic - arithmetic sequence

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

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Q: Find the first six terms of the recursive sequence. a₁ = 1, an+1 = 3 - an a₁ a2 = a3 = a4 = a5 = a6…

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Q: Given the first term and the common difference of an arithmetic sequence find explicit rule and the…

A: The given data are first term of AP and the common difference a1=12 d= 10 We know the formula of AP…

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 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

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Q: Phil bought a car by taking out a loan for $17,200 at 0.5% interest per month. Phil's normal monthly…

A:

Q: John saves money in a manner that it forms an arithmetic sequence. John saves 5 dollars on the first…

A: Since you have asked multiple questions, we will solve the first question (Question-3) for you. If…

Q: Find the sum of the first 12 terms for the following arithmetic sequence. a2 = 1, a4 =7 The sum of…

A: We have to find sum of first 12 terms of the arithmetic sequence where it is given that: a2=1, a4=7…

Q: At the local grocery store, cans of beans are arranged in rows. The number of cans in each row forms…

A:

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.