find x any y such that 125, x, y, 1 is part of an arithmetic sequence. x=___________, y=___________ then find x and y so that the sequence is part of a geometric sequence. x=____________, y=____________ x and y might not be intergers.

Q: The distance passed over by a certain pendulum bob in succeeding swings form the geometric sequence…

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Q: 15-22 - Arithmetic or Geometric? The first four terms of a sequence are given. Determine whether…

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

Q: 1 Find the first 10 terms of the sequence an = an-1 Its 9th term is Its 10th term is and a1 = 14. =

A: Given sequence is  an=1an-1 Given a1=14 We need to calculate first 10 terms of the sequence.

Q: A sequence {a} is said to have property / provided a, < a,+1, for all natural numbers n, and it is…

A: (I) Consider the sequence an=n. Clearly, n&lt;n+1 for all natural numbers n. That is, an&lt;an+1 for…

Q: 27-32 - Arithmetic Sequence? Find the first five terms of the sequence, and determine whether it is…

A: Given  The various sequences  i). an=4+7nii). an=4+2niii). an=11+2n To determine if it is arithmetic…

Q: 15-22 - Arithmetic or Geometric? The first four terms of a sequence are given. Determine whether…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re…

Q: 5) The first, fifth, and thirteenth terms of an arithmetic sequence, where d + 0, are the first 3…

A: We have to find the common difference and common ratio

Q: 2.A sequence having a constant difference is called * a. geometric sequence b. harmonic sequence c.…

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Q: Question Determine the number of terms there are in the finite arithmetic sequence. 3,-2,-7, ... ,…

A: Given arithmetic sequence is

Q: its third term az = its second term a2 = its first term a1 = If the 100th term of an arithmetic…

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Q: 1 The fourth, fifth and sixth terms of a geometric sequences are x – 4, x + 2 and 3x +1…

A: 2.1)a) If a,b,c are in G.P, then     b2=ac    ∴x-4 x+2 and 3x+1     b=x+2  a=x-4   =3x+1…

Q: Find the fifth term and the nth term of the geometric sequence whose initial term a and common ratio…

A: Nth term of Gp is

Q: The sequence given by a, = ar"- is a geometric sequence in which a is the first term and r is the So…

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Q: 16. A geometric sequence has 32 as its first term, and a common ration of a) Find the 7 term. b)…

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Q: (3) Consider the sequence x + 3,x + 7,4x – 2,.... (a) If the sequence is arithmetic, find x and then…

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Q: Find the fifth term and the nth term of the geometric sequence whose initial term a and common ratio…

A: topic - geometric progression

Q: For each geometric sequence, find a recursive rule by finding the common ratio by calculating the…

A: Soln for the given geometric sequence            common ratio r = r2r1…

Q: (- 1)"10 For the sequence an n2 its first term is its second term is its third term is its fourth…

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Q: A. Sequences 1. Given that a2 = 6 and a€ = 96 are terms of a geometric sequence, find a4. 2. Given…

A: As per the Bartleby guidelines, only first three subparts will be answered. Therefore kindly repost…

Q: HIGH SCHOOL WORKSHEET 2 MELC: determines geometric means, nth term of a geometric sequence and sum…

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

Q: Show that the given sequence is geometric. Then, find the common ratio and write out the first four…

A: Given sequence is Sn=6n

Q: a geometric sequence has a first term of 8/3 and a fourth term of 9. find the common ratio. Write…

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Q: Find all values of x such that x - 7,x + 7, and 4x – 7 form a geometric sequence. A. x = 0 or x ==…

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Q: 1 1 The 3rd term and the 8th term of a geometric sequence are 2 and 64 respectively. Find the first…

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

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Q: Determine the common ratio, the eighth term, a recursive rule for the nth term, and an explicit rule…

A: 1)       common ratio = a2a1=-21=-2

Q: 50. Find all values of x such that x – 7,x + 7, and 4x – 7 form a geometric sequence. 32 A. x = 0 or…

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Q: The sequences below are either arithmetic sequences or geometric sequences. For each sequence,…

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Q: Example 9, x, and 16 are in geometric sequence. Determine x.

A: 9,x, and 16 are in geometric sequence.determine x.

Q: 12.3.31 Find the indicated term of the geometric sequence. 10th term of 0.3, 0.03, 0.003,... Enter…

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Q: Write a formula for the nth term of the following geometric sequence. Then use the formula for a, to…

A: 3,9,27,... here the first term is  a1=3 and the common ratio is  r=93=3

Q: 2. The sequence given by a, = ar" is a geometric sequence in which a is the first term and r is the…

A: The sequence given by an=arn-1 is a geometric sequence in which a is the first term and r is the…

Q: St. Ives The following is a well-known children’s rhyme:As I was going to St. Ives,I met a man with…

A: The geometric sequence in the rhyme starts with the number 7 and continues with the common ratio 7.…

Q: th 10. Find the 100" term of the arithmetic sequence 14, 10, 6, 2, ... Then find the sum of the…

A: ques 10 answer

Q: Nrite a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula…

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Q: For each geometric sequence, find a recursive rule by finding the common ratio by calculating the…

A: Soln for the geometric seriescommon ratio r =r2r1= 244        r = 6a1= 4an = 6 an-1 n≥ 2 an for g.p…

Q: Write a recursive formula for an arithmetic sequence Question Write a recursive formula for the…

A: The arithmetic sequence bn is given below First term of the sequence is  Common difference is…

Q: Write a recursive formula for an arithmetic sequence Question Write a recursive formula for the…

A: tn is given as -3, -12, -21, -30, -39.. The first term here is -3, so t1 is -3

Q: A partial sum of an arithmetic sequence is given. Find the sum. 14 E (3 + 0.26k) k = 0 S =

A: We need to find sum of sequence.

Q: Write a recursive formula for an arithmetic sequence Question Write a recursive formula for the…

A: To write the recursive formula for the given arithmetic sequence.

Q: An ancestor is a person from whom an individual is descended (a parent, a grandparent, a…

A: The number of ancestors 2,4,8,... is a geometric sequence  We have to find the 12th term in this…

Q: Find the general term un for an arithmetic sequence with: a) seventh term 1 and fifteenth term -39

A: Seventh term is 1, fifteenth term is -39

Q: A town has a population of 5000 persons but is expected to grow by 2% every year a) what would be…

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Q: (3) Consider the sequence x + 3,x + 7,4x – 2,. . (a) If the sequence is arithmetic, find x and then…

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Q: 29-38 - Terms of a Geometric Sequence Determine the common ratio, the fifth term, and the nth term…

A: "Since you have posted a multiple questions, we will solve first question for you. To get remaining…

Q: (3) Consider the sequence x + 3, x + 7,4x – 2,.. . (a) If the sequence is arithmetic, find x and…

A: We know that, For arithmetic series, d=a2-a1=a3-a2  For geometric series, r=a2/a1 = a3/a2  So from…

Q: 3. a) Determine x so that 2x, 3x +1, and x² + 2 are the first three terms of an arithmetic sequence.…

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Q: 104. PROVE: Exponentials of an Arithmetic Sequence If a1, az, az, .. is an arithmetic sequence with…

A: a1, a2, a3, ..... is a n arithmetic sequence with common difference d. Now, a2=a1+d, a3=a1+2d, -----…

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.