Find x and y such that 2, x, y, 41 is part of an arithmetic sequence. x = 15 , y = 28 Then find æ and y so that the sequence is part of a geometric sequ x = • Y = (Warning: x and y might not be integers.)

Q: Predict the general term, or nth term, an, for the sequence. 1 2 3 4 5 - - 5'6'7' 8' 9 an %3D II

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Q: Determine if the following sequences are arithmetic or geometric, if they have a common difference…

A: Q2)Given,-6,-2,2,6,10,14,...we can see that:-6 + 4 = -2-2 + 4= 22+4=66+4=1010+4=14So, it is in…

Q: The first four terms of a sequence are given. Determine whether these terms can be the terms of a…

A: sequence is 1, 45,89,133.....

Q: Determine the first 3 terms of the given sequence. = An-1 · 3; Ao = 4 An %3D

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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: Given the sequence (a) 13, 29,327,481,...  Common difference, d = t1-t2=29-13=-13≠t4-t3=-581 The…

Q: 1 point) If s, = then list the first five terms of the sequence s,. 82 = 83 = SA = and s5 =

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Q: 3. It is given that p, q, r, s, t are in arithmetic sequence. If p+q+r=9 and s+t= 26, find the (a)…

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Q: For the sequence: {- 3, – 8, – 13, – 18, – 23,..}, tell whether the sequence is arithmetic and if…

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Q: If 4x, x+2 and x-5 form an arithemtic sequence, what is the value of x? a.) 3 b.) 4 c.) 5 d.) 6

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Q: Find the values of x for which the sequence 6, x, 12, . . . is(a) arithmetic (b) geometric

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Q: Determine if the sequence is arithmetic. If it is, find the common difference and the three terms in…

A: (13)   -33,167,367,567. diff. = 167-(-33) = 200 diff= 367-167 = 200 diff = 567-367 = 200 All are…

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

A: a. 13,29,327,481, . . .  O. Expalnation: It is not airthmetice sequence since,…

Q: Use the nth term of an arithmetic sequence a, = a, + (n – 1)d to answer the following questions. 1)…

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

Q: For (a)and (b), determine whether the sequence is a Fibonacci-type sequence. If it is, determine the…

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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: It is given that p, q, r , s, t are in arithmetic sequence. If p + q + r = 9and s + t = 26, find the…

A: We have to find common difference

Q: The given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern.…

A: Consider the given pattern. 4,-8, 12, -16,...  It is an alternating sequence having negative even…

Q: For Exercise, the nth term of a sequence is given. Write the first four terms of the sequence. d, =…

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Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, . .... a = 2.4"-1 A a = 8.4"-1 %3D…

A: We have the given sequence is 2,8,32,128............

Q: Given the sequence, formulate a rule for the given sequence. 1. { 0, 3, 6, 9,...} 2. { 3, 6, 9, 12,…

A: Consider the given sequence (1)  U=0, 3, 6, 9…… Here, first term a=0Common difference d=3-0=3=6-3=3…

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 æ and y such that 4, x, y, 37 is part of an arithmetic sequence. x = 3 y = Then find æ and y so…

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Q: For each sequence, determine whether the sequence is arithmetic, geometric, or neither.

A: Given sequence, -300,100,300.......

Q: If the given sequence is a geometric sequence, find the common ratio. 4, -12, 36, -108, 324 -16 -3 O…

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Q: Find x and y such that 9, x, y, 243 is part of an arithmetic sequence. y = %D Then find x and y so…

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Q: Let bo, b,, b2, ... be the sequence defined by the explicit formula b, = C. 6" + D(-5)^ for each…

A: Substitute 0 and 1 in the given expression to obtain the values of C and D,

Q: The first four terms of a sequence are given. Determine whether these terms can be the terms of a…

A: The solution is:

Q: If a, = 2 and a = 2a, n -1> find the first five terms of the sequence.

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Q: The first three terms of an arithmetic sequence are as follows. 3, -3, -9 Find the next two terms of…

A: We know that for Arithmetic Progression, Common difference (d) = a2 - a1…

Q: Write A if the sequence is arithmetic, G if it is geometric, F if fibonacci, and O if it is not one…

A: Hi, thank you for the question. Since you have posted a question with multiple subparts, as per our…

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

A: We use the definition of Arithmetic sequence and Geometric sequence to find the answer of the given…

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

A: According to the question,  we have the sequence: x+3, x+7, 4x-2,...   Assuming the sequence is…

Q: The given pattern continues. Write down the nth term of the sequence {a,} suggested by the pattern.…

A: 3, -6, 9, -12, .... From this series we see that each term is a multiple of 3. In fact the nth term…

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

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Q: Using the appropriate formula, find the 17th term of the sequence 7,4,1.........

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: a) Consider the sequence: 6, 17, 28, 39 Find the missing term above. Is this sequence arithmetic,…

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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: Find the general term an , for the sequence 3,7,11,15,

A: Given sequence is 3, 7, 11, 15. We have to find the general term an. Here, 7-3=4 11-7=4 15-11=4…

Q: True or false: If the sequence a, b, c  is arithmetic, then the sequence  2a,2b,2c  is geometric.…

A: If the sequence a, b, c is arithmetic, then the sequence  2a, 2b, 2c  is geometric.

Q: Let bo, b,, b2, ... be the sequence defined by the explicit formula b, = c. 6" + D(-5)^ for each…

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Q: The first four terms of a sequence are given. Determine whether these terms can be the terms of a…

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

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Q: 5. If {un} is a geometric sequence, U̟U6 64, uz + u7 = 34, find un %3D

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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: Determine if the sequence is geometric. If it is, find the common ratio, the term named in the…

A: We have to find terms

Q: The first four terms of a sequence are given. Determine whether these terms can be the terms of a…

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Q: 1. A sequence is defined by the recursive rule c, =c, 2" with c, =5. Which of the following…

A: Given a sequence:    cn=cn-1.2n-1          and c1=5

Q: It is given that three positive integers form an arithmetic sequence. Find these three integers if…

A: Let the three integers be a-d, a and a+d.

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.