Refer to the graph of the sequence (an). a. Estimate the first four terms of the sequence. b. Write a formula for the nth term of the sequence. C. Find the 20th term. d. Find the sum of the first 20 terms. e. If an = 256, what is n? f. Find the difference between a50 and a32.

Q: Find the indicated term of the sequence whose nth term is given by the formula. an=(+5)(n+ 6); a15…

A: Given sequence

Q: Find the nth term of the arithmetic sequence with the given values. 2 %3D a = 5' 15 n=614

A: Given : a1 = 65d = 215n = 614

Q: Write an equation for the nth term of the given arithmetic sequence. –5, –12, –19, –26, ...

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

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Q: What is the equation for the nth term of the arithmetic sequence where a₁ = 28 and d = -6? an=28-6n…

A: Solution of given question is written in below steps.

Q: Which of the following equations represents the nth term of the arithmetic sequence? 17, 24, 31, 38,…

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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: Find the first term of an arithmetic sequence if the 9th term is 72 and the common difference is 5.…

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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: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 8,…

A: Given,            A sequence is 8,-12,18,27,.....We know that,           A sequence is in Geometric…

Q: Find an and a3 for the geometric sequence. 27 16, а2, аз. 4

A: Geometric sequence:   a, ar, ar2, ar3,.................. Geometric sequence:   a1, a2, a3, a4…

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

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Q: write the equation of this geometric sequence and find the value of the 9th term 1/3 , 1 , 3 , 9....…

A: First identify the series than find the nth term .

Q: The third term of a geometric sequence is 5, and the sixth term is -40. Find the eighth term.

A: The nth term of a geometric sequence is given by an=a1rn-1, where a1 is the first term of the…

Q: Find the 78th term of an arithmetic sequence with a 1 = 64 and d= −11.

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Q: Find the 20th term of the geometric sequence given the first term is -7 and the common ration is…

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Q: Write the first five terms of the geometric sequence. a 1 = 3; r = 1/4

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Q: Find the second, third, and fourth terms of the geometric sequence with c1=8 and r=−1/2.

A: General term of GP

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

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Q: Find the specified term of the arithmetic sequence that has the two given terms.a1; a6 = 2.7,…

A: To find: The first term a1 of the arithmetic sequence. Given: The sixth term a6 of the sequence is…

Q: Calculate the next term in the geometric sequence that is calculated with a ratio of 19 if the…

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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: Determine the first five terms of the arithmetic sequence {an} with a1 = 4, and d = 8.

A: Given: to find first five terms of the arithmetic sequence with a1 = 4, and d = 8.

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

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Q: Show that the given sequence is arithmetic, and find the common difference.-6, -2, 2, . . . , 4n -…

A: An arithmetic progression is a sequence of numbers that has a first term and every succeeding term…

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: How do I do that?

A: Given that an denotes the nth term of the sequence {10, –2, 10, –2, 10, –2, ….}.Note that the above…

Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = (-1)n/3n…

A: The general term given is an=-1n3n-1.

Q: Find the number of terms in the arithmetic sequence with the given conditions.

A: The first term of the arithmetic sequence is given as -296 The common difference of the arithmetic…

Q: Find the 12th term in the arithmetic sequence an = 3 − 6(n − 1).

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Q: Write the first five terms of the geometric sequence whose first term is 2, and whose common ratio…

A: Given problem:- Write the first five terms of the geometric sequence whose first term is 2, and…

Q: Find the common difference d for the arithmetic sequence 4, 5, 6, 7,...

A: The arithmetic series is given as 4, 5, 6, 7...

Q: Find the 500th term of an arithmetic sequence with a1 = 6.9 and d = 0.3.

A: Given,a1 = 6.9 and d = 0.3The formula for nth term is,an = a1 + (n – 1) d …(1)

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: both questions

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

Q: Write the first five terms of the geometric sequence whose first term is 6, and whose common ratio…

A: For the given geometric sequence, we have the first term is 6 and the common ratio is 3 We have to…

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: both questions

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

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Q: B. Write the last four terms before a, of the geometric sequence in which a, and r are as follows:…

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Q: Find the missing term of the geometric sequence. 1 ,16 4,

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Q: Which explicit formula represents an arithmetic sequence with a first term of 19 and a common…

A: Given: a first term of 19 and a common difference of 4 a=19  and common difference d= 4 The general…

Q: Find S_10 given a geometric sequence with a_2=160 and r=5/4

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Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.a1 = -9, a10 = 15, n…

A: Formula to find the sum of the arithmetic series helps to find the required sum. Assume that the…

Q: Find the indicated term of the sequence whose nth term is given by the formula. an = (-1)" -1(n -…

A: Consider the nth term of the sequence We have to find 26th term of the sequence i.e.

Q: If the third term of an arithmetic sequence is I and the eighth term is -14" what is the sum of the…

A:

Q: What equation can be written for the nth term of this geometric sequence? 1 2 3 4 an 100 -50 25…

A: Find the n the term of the geometric series

Q: Find the nth term of the geometric sequence whose initial term is a1 = 8 and common ratio is 4. An…

A: The initial term is given as a1=8 and common ratio is 4. To find : the nth term of the geometric…

Q: Write an explicit formula for the geometric sequence  4.  – 4/3, 4/9, -4/27, …

A: Calculation are as follows

Q: Graph the first five terms of the arithmetic sequence that has an a1 value of 1 and a common…

A: The general form of sequence,  a1, a1+d, a1+2d,.... where, a1-first term, d-common difference. we…