Write a formula for the general term (the nth term) of the sequence 3, 6, 12, 24, . . . ; a10. Then use the formula to find the indicated term.

Q: Find the formula of the general term an of the sequence: 26 24 120 1, 4 '9 ' 16 ' 25

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Q: Write a formula for the nth term of the geometric sequence 5,4, 16 64 ' 5 '125 ....

A: Topic = Geometric Series As per guidelines , At a time only one question can be answered out of…

Q: Find the nth term and the indicated term of the arithmetic sequence {a_(n)} whose initial term, a,…

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Q: Find a formula for the nth term of the sequence. an= -1, 16, 81, 256, -625, ... Determine the…

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Q: Write a recursive formula for the sequence 15, 26, 48, 92, 180, .... Then find the next term.

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Q: Write the explicit formula of the sequence 25, 21, 17, 13

A: Given 25,21,17,13 It is in arthematic series Because it has difference 4 for each number.

Q: Use the explicit formula to find the 50th term of the sequence An -n² - 3n

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Q: a) Find a formula for the nth term of the sequence. 1, 1/8, 1/27, 1/64, . . .   b) Write the first…

A: Explanation of the solution is given below....

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

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

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

A: Given: 7,  28,  112,  ...

Q: find a formula for the nth term of the sequence. √5 - √4, √6 - √5, √7 - √6, √8 - √7, . . .

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Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

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Q: ind a formula for the solution of the sequence An Зап-1 — 2ап-2, п23, а, — 2, а2 — 3 |

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Q: Find the formula of the general term an of the sequence: 10,50,250,1250 ..

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Q: ind the formula for the nth term of the arithmetic sequence. 9,7,5, .

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Q: Write a formula for the general term (the nth term) of the geometric sequence 3, 15, 75, 375,. . . .…

A: Write the first term a and common ratio r of the sequence.

Q: Write the explicit formula for the sequence 3, 7, 11, 15, 19, 23, ...

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Q: write a general formula for the nth term of the sequence. an =- 4"-1 (n+1)² an 2 n- 1 an

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

A: Obtain the value of the sum as follows.

Q: Find a formula for the nth term in the sequence: 4 10 16 22 28 2 6 12' 20' 30 >... nth term is

A: The given sequence is  4/2, 10/6, 16/12, 22/20, 28/30,................. To find nth term

Q: Use the formula an = a13n-1 to find the seventh term of the sequence 11, 33, 99, 297, . . . .

A: Given: 11,33,99,297,...

Q: 58 11 14 17 1'2' 6 '24'120

A: We have to find the formula for nth term of the sequence: 51,82,116,1424,17120...... Here we have to…

Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 2, 4, 8,

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Q: Find a formula for the nth term of the arithmetic sequence. a = 20, d = 7 an

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Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.1, -√3, 3, -3√3,...

A: The given sequence is 1,  -3,  3,   -33,  ⋯⋯. Common ratio is r=-31=-3 and first term is a=1.

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

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Q: Find the first four terms and the 100th term of the sequence.  an=(-1)^n+1 n/n+3

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Q: Find a formula for the nth term of the geometric sequence 1600, -400, 100, -25......

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Q: Find the 60th term of the sequence 5, -2,-9,-16,... O a-478 O b.non of them

A: Here given as 5, -2, -9, -16, ...... The first term of sequence is a1=5, Also the common difference…

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

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Q: Given the first four terms in an arithmetic sequence, find the recursive formula. 39, 34, 29, 24

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

A: The real sequence is a mapping from the set of natural numbers to the set of real numbers. A…

Q: Write an explicit formula for an, the nth term of the sequence 5, 15, 25, ....

A: *to find:- nth term, a_n.

Q: Find a formula for the general term an of the sequence (starting with a1): {2,6, 2, 6, ...}.

A: • The given sequence repeats itself after 2 terms. It's general formula can be given as explained in…

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.2, 6, 10, 14,.....

A: Given: The arithmetic sequence 2, 6, 10, 14, ..., To find: nth, 5th, 10th term of the sequence.…

Q: Find the formula of the general term an of the sequence: 1 1 1 1 3 '9 '27 '81

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Q: Find the tenth term in the sequence. an = n + 2

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

A: Given, sequence is in Arithmetic progression. Formula for nth term is given by  an= a+(n-1)d Where a…

Q: 11. Write the formula for the nth term of the following sequence: 3,-9, 27,-81, 243, -..

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Q: Find a formula for the nth term of the sequence. - 1, 4, - 9, 16, -25, .. Determine the sequence's…

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Q: Find the formula of the general term an of the sequence: 1 1 1 1 3 '9 27 '81

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Q: Find the formula (nth term) of the sequence 4, 10, 28, 82, 244, .... O an = 3n + 1 an = 6n + 1 O an…

A: Given, The sequence  4, 10, 28, 82, 244, .... We have to find the nth term of the sequence

Q: 2.) Write an expression for the nth term of the sequence 1, 6, 120, 5040, 362,880, . . .

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Q: Use the formula an = 4 + (n - 1)(-7) to find the eighth term of the sequence 4, -3, -10, . . . .

A: We have to find eighth term of the sequence: 4, -3, -10, ..... Since above sequence is in arithmetic…

Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 180, -30, 5,

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Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.162, -54, 18, -6, .…

A: Given: The geometric sequence is: 162, -54, 18, -6, . . .

Q: Find a formula for a, for the arithmetic sequence. a = 102, d= - 6

A: the  formula for an is given by an=a1+n-1d where a1 is the first term and d is the common…

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

A: # we are entitled to solve one question at a time ,please resubmit the other questions if you wish…

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.