Consider the arithmetic sequence:2, -4, -10, -16, . . .a. Write a formula for the general term (the nth term) of the sequence. Do not use a recursion formula.b. Use the formula for an to find a30, the 30th term of the sequence.c. Find the sum of the first 30 terms of the sequence.

Q: Write a formula for the nth term of the following geometric sequence. Then use the formula for a, to…

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Q: Given the arithmetic sequence 6,-1,-8,-15,-22. Find the 25 term

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

A: First I have written the general term formula for an arithmetic sequence, just use this formula for…

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, the fifth term, and the tenth term of the arithmetic sequence.-7, -3.9, -0.8,…

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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: Write the first six terms of the arithmetic sequence shown below. anan-1-19, a₁ = 33 ***

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

A: The solution is given below.

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

A: a1=-30 and d=5

Q: tell whether the sequence is arithmetic. * 0, -4, -8, -12, -16, ...

A: Given: A following sequence is given 0, -4, -8, -12, -16, ... To Find: To check the given sequence…

Q: . Recursively, find the missing term of the arithmetic sequence with the following given that a₁ =…

A: We have a1=5 , a2=11 , a7=? . To find the 7th term of the given arithmetic series .

Q: Write the first five terms of the geometric sequence. a n = 6a n-1; a 1 = 3

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Q: In an arithmetic sequence, a, = -3 and d = -5. What is a4?

A: The nth term of an arithmetic sequence is an=a+n-1d Here,  a= first termd= common difference Now,…

Q: Given an arithmetic sequence-11, 2, 15,…, if T(m) is the first term that exceeds 200, find the value…

A: We know, the mth term of an arithmetic sequence is  am = a+(m-1)·d where a = first term of the…

Q: Write the first six terms of the arithmetic sequence: an = an-1 -0.3, a1 =-1.7

A: To write the first six terms of the arithmetic sequence an=an-1-0.3,a1=-1.7

Q: In an arithmetic sequence , if a2 = -1 and -11 , then the common difference d is | 10 -10 -21 12 -13

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Q: Write a formula for the arithmetic sequence that starts as follows: 3, 8, . . . Write the first five…

A: Here the given arithmetic sequence as Since the difference between any two terms of the above…

Q: Write out the sequence that can be described by the explicit definition: an n? + 2n ?

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Q: Find the indicated term for the arithmetic sequence with first term, a, and common difference, d.…

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

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Q: Write a formula for the general term (the nth term) of the geometric sequence, 0.0004, -0.004, 0.04,…

A: Consider the given sequence 0.0004,-0.004,0.04,-0.4,...

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: Find the indicated term of the geometric sequence. 6, -4,.; ...; a7 3 a7 =

A: Consider the geometric sequence 6, −4, 8/3, ⋯

Q: Write the first six terms of the arithmetic sequence an = an-1 - 0.3, a1 = -1.7.

A: Substitute –1.7 for a1 and 2 for n in the given recursion formula and Obtain the second term of the…

Q: Write an explicit formula that represents the sequence defined by the following recursive formula:…

A: We have to write an explicit formula that represents the sequence defined by the following recursive…

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 the specified term of the arithmetic sequence that has the two given terms.a1; a8 = 47, a9 = 53

A: The general arithmetic sequence will be of the form a,a+d,a+2d+a+3d,....., where a is the initial…

Q: determine whether the sequence is arithmetic. If so, then find the common difference.

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Q: The sixth and eighth terms of an arithmetic sequence are -12 and -22. Find the fifteenth term. a15

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Q: (a) Write a nonrecursive formula for the n term of the arithmetic sequence {a based on the given…

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Q: Write a recursive formula for the following arithmetic sequence. -7, -10, –13, -16, ... O for n 2 2…

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence : -2, 8, 18, 28,…

A: The given sequence is -2, 8, 18, 28,...   formula used: an=a1+n-1d an=nth terma1=1st termd=common…

Q: Write the first five terms of the geometric sequence. an = 5an-1; a1 = 4

A: Fro the given problem: an=5an-1  And a1=4 So, The 2nd term is: an=5an-1    a2=5a2-1a2=5a1a2=54=20

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 a geometric sequence to find the indicated…

A: Use the formula for the general term (the nth term) of a geometric sequence to find the indicated…

Q: both questions

A: If a1 is the first term of arithmetic sequence and d is common difference, then n th term of…

Q: Determine if the sequence is arithmetic. If it is, find the common difference and the nth term. 3)…

A: An arithmetic sequence is a sequence where the difference between the elements in an order remain…

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 recursive sequence that represents the sequence defined by the following explicit formula:…

A: topic- sequence and series

Q: Write the first five terms of the geometric sequence. an = - 5an - 1, a1 = - 6 a1 II

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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: Find the 10th term of the arithmetic sequence. 2, - 4, - 10, - 16, ... The 10th term is

A: Given : 2, -4, -10, -16

Q: tell whether the sequence is arithmetic. * 2. 0,-4, -8,-12, -16, ... Yes No

A: The given sequence is; 0,-4,-8,-12,-16,............... here  a1=0a2=-4a3=-8a4=-12a5=-16.........

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 recursive formula for the following arithmetic sequence. 10, 4, -2, -8, ... |for n z 2 a

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Q: Look at the pattern and then predict the general term, or nth term, an, of the sequence. -3,6, -9,…

A: Observe the series and determine the an of the sequence.

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: 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…

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.