Given the explicit formula for an arithmetic sequence find the common difference, the first five cerms, and the 52nd term. )a = 120 – 100n

Q: Given two terms in a geometric sequence find the common ratio, the explicit formula, and the…

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Q: Given the geometric sequence: 22 242 ао — 2, а1 — a2 = 13 169 ' find a formula for the n-th term:

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Q: Assume that the pattern shown by the square tiles in the ff figures continues: a. What is the nth…

A: Analysing the figures it can be seen that all figures are formed by big square and a column…

Q: An arithmetic sequence is given below. 18, 14, 10, 6, Write an explicit formula for the n th term…

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Q: Given the explicit formula for an arithmetic sequence find the common difference, the first five…

A: Here the given explicit formula for an arthmetic sequence is        an=-3+9nCommon difference for…

Q: What is the nth-term formula for the number of tiles in the nth figure of sequence?

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Q: Given the explicit formula for a geometric sequence find the common ratio, the term named in the…

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Q: Given a term in an arithmetic sequence and the common difference find the explicit formula.

A: Let  a sequence is    a,  a+d, a+2d, a+3d, a+4d,.....     , where  First term = a  and   Common…

Q: Write an explicit formula for an, the nh term of the sequence 5, –1, –7,.... -

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Q: Given the geometric sequence: 72 a2 = 13 648 ao = 8, a1 169 find a formula for the n-th term: an

A: The given geometric sequence is: a0=8, a1= 7213,a2= 648169, ... To find an

Q: Find the common ratio and write out the first four terms of 7n+2 the geometric sequence 6 Common…

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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: Lan=Z,5 .4n-1

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Q: Write an explicit formula for an, the n'n term of the sequence 1, 5, 25, ... .

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Q: In an arithmetic sequence a1, a2,* an, if the first term is 2 and the comnon differenCe is 4, then…

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Q: (a) What is the nth-term formula for the number of tiles in the nth figure of the sequence? (b) How…

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Q: Find a formula for the nth term of the given geometric sequence. 7, 28, 112,

A: Given: 7,  28,  112,  ...

Q: Each gives the first term or two of a sequence alongwith a recursion formula for the remaining…

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Q: Given the geometric sequence {a;} = {1000, 900, 810, 729,...} (a) Determine a40, the 40th term.…

A: Given,geometric sequence,1000, 900, 810, 729.....This is geometric progression,therefore,first…

Q: Da =-4. 3"-1

A: The given geometric sequence is,

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

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Q: An arithmetic sequence is given below. 16, 20, 24, 28, Write an explicit formula for the n th term…

A: Given query is to find the explicit formula for nth term.

Q: 1. Consider the sequence: 12, 19, 26, 33, ..., 187 a) Determine the number of terms in each…

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Q: Given the explicit formula for a geometric sequence find the common ratio, the term named in the…

A: By using the general formula of a G.P. we can find the common ratio as well as 11 th term

Q: In geometric sequence a1, a2, · · · , an , if a4 = 405 and ag = 3645, then the common ratio is 4 O 3…

A: To find the common ratio

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

A: The formula to find the nth term of geometric sequence is an=a1·rn-1. where, an is the nth term, a1…

Q: Given a and b, suppose that three numbers are inserted between them so that the five numbers form a…

A: If the product of the three inserted number between a and b is 27  This product is the cube of the…

Q: Given the explicit formula for a geometric sequence find the common ratio, the term named in the…

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

Q: Given the geometric sequence: 36, 120, 400, ... Find an explicit formula for an, where the first…

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Q: Given the geometric sequence: 28 112 ao = 7, a1 = , a2 find a formula for the n-th term: an

A: Explanation of the answer is as follows

Q: Given the explicit formula for a geometric sequence find the first five terms and the 8th term. 6)…

A: Given, The explicit formula for geometric sequence  an= -3×(-2)n-1 To find the first five terms plug…

Q: In an arithmetic sequence, a = 19 and a, = 31. Determine a formula for a, the n" term of this…

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Q: a = 3"- 1

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Q: Given the geometric sequence 31, 31/8,31/64 find an explicit formula for an find a7 please show…

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Q: In geometric sequence a1, a2, · · , an , if az 1421 and a5 69629, then the common ratio is

A: Given,          In geometric sequence a1,a2,....,an if a3=1421 and a5=69629.We know that,…

Q: a = 5, a,+1=-3a,

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Q: Given the geometric sequence: 100 ao 12, ај — 20, а2 3 find a formula for the n-th term: An

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Q: Given the geometric sequence: 40 4, aj = 11 400 ao a2 = 121 find a formula for the n-th term:

A: The given geometric series is,a0=4,a1=4011,a2=400121,.....

Q: 2: Assume that the patterns shown by the square tiles in the following figure continues. What is the…

A: Given that:   There are 5 pattern shown in the given figure, and find the total number of tiles in…

Q: In geometric sequence a1, a2, - --, an , if a4 = 1472 and a6 23552, then the common ratio is O 4 O 5…

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Q: find a formula for a, for the arithmetic sequence.

A: First term, a1 = a= 1 common difference, d= 3

Q: In geometric sequence a1, a2, •• • , An , a3 = 1792 and ag = 114688, then the common ratio is 7 9.…

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Q: Find the common ratio and write out the first four terms of the geometric sequence 7n+3 6 Common…

A: Common ratio is a2/a1

Q: n-1 a =2 .

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Q: Given the recursive formula for a geometric sequence find the common ratio, the first five terms,…

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Q: In an arithmetic sequence a1, a2, · ·., an , if the first term is 3 and the common difference is 4,…

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Q: Given the geometeric sequence 8, 6/1, 9/2 find an explicit formula for an

A: Let's call the i-th term of the sequence as ai.We have a1 = 8a2 = 6and a3 = 9/2

Q: Two terms of a geometric sequence are given. Find the first five terms. a7 = 2187, 59049 aj = %3D a…

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