Find all values of x such that x - 7,x + 7, and 4x – 7 form a geometric sequence. A. x = 0 or x == C.x = -2 or x = B. x = 0 or x = D. x = 3 or x =

Q: If x + 1, 2x + 2 and 5x + 2 form a geometric sequence, find the value of the first term. O 4 O 2 O 5

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Q: 3, 12, 21, 30,...

A: A geometric sequence, is a sequence of numbers where each term after the first is found by…

Q: Find the second, third, and fourth terms of the geometric sequence with c1=8 and r=−12.

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Q: Determine whether each sequence is finite or infinite. For the finite, give the last term. For the…

A: Given series is 3,-1,-4,-6,-7The given series is finite , that means there exists a lastterm.In…

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

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Q: Find a, and an for the arithmetic sequence. as = - 2, ag = 10 a4 = an %3D

A: nth term of AP is given by, an= a+(n-1)d

Q: The 7th term of the geometric sequence whose first term is 6 and the common ratio is is 3 256 729…

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Q: Find an and a3 for the geometric sequence. 27 16, а2, аз. 4

A: Geometric sequence:   a, ar, ar2, ar3,.................. Geometric sequence:   a1, a2, a3, a4…

Q: Find k so that the terms k – 3, k + 1 and 4k 2 form a geometric sequence

A: If three terms are said to be in a geometric sequence then there exist a common ratio between the…

Q: Find ag and a, for the arithmetic sequence. a,=x, a, = x+3

A: a1=x , a2=x+3 Formula an=a1+(n-1)dd is the common difference

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.4, -6, 9, -13.5....

A: Given:               4, -6, 9, -13.5,..........     The given statement is the geometric sequence:…

Q: Find az and a, for the arithmetic sequence. a =X, a2 = X+ 3 ay =L

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Q: find the values of k so that the numbers 2k+1, 3k+4 and 7k+ 6 form a geometric sequence

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Q: c) find the sum of the first 201 terms of this sequence.

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Q: 1. Find the first five terms of the geometric sequence for which a1 3 and r = -2. %3D

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Q: Find the formula of the general term an of the sequence: 3 1 2 .. 1, 2 2

A: The solution is given as

Q: Solve for x & y if the given sequence is arithmetic Зх + 6у, 4у, 7х + 2, 2х — 3у

A: Explanation of the answer is as follows

Q: Find the 9th, 24th, and nth terms of the arithmetic sequence. 3, 1, -1, ... ag = a24 = %3D %3D

A: First find the common difference of the given arithmetic sequence than use the formula to find other…

Q: Find the specified term of the arithmetic sequence that has the two given terms.a1; a6 = 2.7,…

A: To find: The first term a1 of the arithmetic sequence. Given: The sixth term a6 of the sequence is…

Q: and For each geometric sequence given, write the next three terms ag, agı (а) 3, 6, 12, ... a4 = as…

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Q: Find an and a- for the following geometric sequence. a, = - 4, r=2 -1 an a7 =

A: Given:          a2=-4           r=2 The nth of geometric sequence is calculated as…

Q: Find a formula for a, for the arithmetic sequence. 27, 20, 13, 6, -1,. .. an II

A: The arithmetic sequence is given by 27, 20, 13, 6, -1,... To evaluate : The expression of an

Q: Find x so that x, (x + 2), and (x + 3) are consecutive terms of a geometric sequence.

A: In this question, we will find the value of x which will satisfy the conditions of a geometric…

Q: Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the…

A: As per guidelines, we are supposed to solve only first question. Please repost other questions…

Q: Show that the given sequence is arithmetic, and find the common difference.-6, -2, 2, . . . , 4n -…

A: An arithmetic progression is a sequence of numbers that has a first term and every succeeding term…

Q: Determine whether the sequence is geometric. If so, find the common ratio. -1, -3, -5, -7,...

A: A geometric sequence is the one in which ratio of two consecutive terms is same and that ratio is…

Q: Find all possible values of r for a geometric sequence with the two given terms.a3 = 4, a7 = 1/4

A: To find: The value of common ratio of geometric sequence  r. Given; The 3th term is 4 and 7th term…

Q: Find the 7th term of the geometric sequence with the given terms. a4 = -8 and a5 = -40 %3D %D

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Q: Find a, and a3 for the following geometric sequence. a, =3, r= -2 an %3D

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

A: The given sequence-1,-2,-3,......

Q: Find a, and r for a geometric sequence {a, from the given information. a, =24 and as=648

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Q: B. Give the next three terms for each geometric sequence. 1. 2, 6,. 2. 0.1, 0.3, 0.9,0.27.. 3. 100,…

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Q: Find the indicated term of the geometric sequence. an= (n-1) 6, where a1 = -2. Find a4. %3D a4=

A: We will solve the given question using two different methods. In the first method we will solve step…

Q: For each sequence, determine whether it appears to be arithmetic. If it does, find the common…

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Q: Find the specified nth term of each geometric sequence. a4 = 10, r = 2, n = 9

A: SOLUTION-

Q: Find a n for the geometric sequence a 1 =-4; r = - 2, n = 10

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Q: Write A if the sequence is arithmetic, G if it is geometric, H if it is harmonic, F if Fibonacci,…

A: Hey, since there are multiple sub-parts posted, we will answer the first 3 sub-parts. If you want…

Q: 2, 10, 50, 250, .

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Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.

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Q: Determine if the sequence is geometric. If it is, find the common ration, the 8th term, and the…

A: This question is related to sequence and series, We will solve it using given information.

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.x - 8, x - 3, x +…

A: Known fact: The nth term of arithmetic sequence is given by an=a+n-1d where a is first term and d is…

Q: Write the first five terms of the sequence with the given nth term. a, = (- a as I||||| 2.

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Q: Given the geometric sequence, find the value of r and a12. -1, 3, -9, 27, .. Or = -3 a12 = 177147…

A: We can find the correct answer in the following steps.

Q: Find all possible values of r for a geometric sequence with the two given terms.a4 = 3, a6 = 9

A: Given two terms of a geometric sequence are a4=3 and a6=9. To find all the possible values of r.…

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 a, and an for the arithmetic sequence. as = - 8, ag = 3 a4 %3D an II II

A: a4= -19

Q: Write a formula for the general term (the nth term) of the geometric sequence, 5, -1, 1/5, - 1/25, .…

A: Given: The geometric sequence 5,-1,15, -125... To determine: Seventh term of the sequence, a7.