Find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for the sequence. Find a formula for the nth term.  14th term is -1; 19th term is -11

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

A: Given data  Initial term of geometric sequence is a =2  common ratio is π=-5

Q: Find a formula for the nth term of the arithmetic sequence. 10 3 a₁ = 0, d = - ²/ 6

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Q: nth term of an arithmetic sequence an = a1 + (n-1)d to answer this question. Thank you and stay…

A: nth term of an arithmetic sequence is given by an = a1 + (n-1)*d, Given : a1 = 10 and d = -1/2

Q: Find the 7th term of the geometric sequence shown below: -5x^5, 10x^10, -20x^15,...

A: The given sequence is -5x5,10x10,-20x15,...

Q: Find the common difference d and the nth term an of the arithmetic sequence

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Q: Write a formula for the general term (the nth term) of the geometric sequence 0.0007, -0.007, 0.07,…

A: an=0.0007×-10n-1 and a7=700.

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.4, 1.2, 0.36,…

A: Given geometric sequence is 4, 1.2, 0.36, 0.108,… To find the nth term, fifth term and eight term of…

Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

A: The question is solved for arithmetic sequence

Q: Find the first four terms of the arithmetic sequence. a1 = -9, d= 8 What is the first term? a1 -

A: Consider the provided information, a1=-9  and d=8 Find the first four terms of the sequence. Using…

Q: Write a formula for the general term (the nth term) of the geometric sequence 100, 10, 1, 1/10, . .…

A: 100, 10, 1, 110, ........ Here, a=First term=100r=common ratio=second termfirst term=10100=110

Q: Find the nth term of the arithmetic sequence whose initial term is a1= -1 and the common difference…

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Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.16, 13, 10, 7,…

A: Given: 16, 13, 10, 7,...

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.2, 6, 18, 54,...

A: The geometric sequence is: 2, 6, 18, 54,..... We have to find the fifth, eighth and the nth term of…

Q: Find the fifth term and the nth term of the geometric sequence. First term is a=1 and common ratio…

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Q: Find a formula for the nth term of the arithmetic sequence. a1= -4, a5=4 an

A: Topic:- sequence and series

Q: If the general term of an arithmetic sequence is a(n) = 7n - 3, find the sum of the first 7 terms of…

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Q: Write a formula for the general term (the nth term) of the geometric sequence, 18, 6, 2, 2/3, . . .…

A: Given geometric sequence is 18,6,2,23,....... Here, first term a1=18 Common ratio, r=618=13 Formula…

Q: Q1/ A geometric sequence whose terms are positive and the sum of the first and second terms is 36,…

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Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.300, -30, 3,…

A: Given geometric sequence is 300, -30, 3, -0.3, ...

Q: Write the first n term of the geometric sequence A1=16x^2, r=-1/2, n=5

A: First n terms of geometric sequenceA1=16x2r=common ratio=-12n=5

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: For a given arithmetic sequence, the 39th term, a39, is equal to 265, and the 76th term, a76, is…

A: topic- arithmetic sequene

Q: given arithmetic sequence, the 6th term, a6 , is equal to −39 , and the 37th term, a37 , is…

A: Concept:

Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

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: Write a formula for the general term (the nth term) of the geometric sequence, 3, 12, 48, 192,…

A: For a G p  , a,ar ,ar2, . . . arn-1  General term is arn-1                    [a=first term  , r =…

Q: Find the common difference d and the nth term a, of the arithmetic sequence whose 7th term is 2 and…

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Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the 50th term…

A: The arithmetic sequence is a sequence in which the difference between two consecutive terms is a…

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

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Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the 50th term…

A: Given, A1=4  d=8 n=50

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated…

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Q: Write a formula for the general term (the nth term) of the geometric sequence 1.5, -3, 6, -12, . . .…

A: Consider the given geometric sequence 1.5 , -3 , 6 , -12, ... Since the terms of the geometric…

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: Find the formula for the nth term of the arithmetic sequence. a1 = 11, d =

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

Q: The first term of an arithmetic sequence is 13, and the tenth term is 5. (a) Find the common…

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Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.-6, -4.5, -3, -1.5,…

A: Given: Arithmetic sequence. -6, -4.5, -3, -1.5

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the sixth term…

A: Given a1=12d=5We know that general terman=a1+(n-1)dSo, an=12+(n-1)5an=7+5n

Q: Write a formula for the general term (the nth term) of the geometric sequence, 12, 6, 3, 3/2, . . .…

A: Consider the following geometric sequence: 12, 6, 3, 32, ... First term of the sequence is 12. a=12…

Q: Find the nth term of the arithmetic sequence {an} whose initial term a and common difference d are…

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Q: If 3x-1; 2x+3; 2x-1 are the first three terms of an arithmetic sequence Calculate x list the first…

A: Given:- 3x-1; 2x+3; 2x-1 are the first three terms of an arithmetic sequence To find:- 1.Calculate x…

Q: The 7th term of an arithmetic sequence is −44, and the common difference is −4. Find the first term.

A: The nth term of sequence is given by:…

Q: For a given arithmetic sequence, the 42" term, a, is equal to -186, and the 77" term, a-77, is equal…

A: Given -           the nth term of an arithmetic sequence is given by -…

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated…

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Q: Write a formula for the general term the nth term of the geometric sequence 3, 12, 48, 192,.... Then…

A: Given: Sn= 3, 12, 48, 192,....  Formula used: For geometric series, Sn= a, ar, ar2, ar3,.....…

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.

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.