Write an expression for the nth term of the sequence. (There is more than one correct answer.) See Examples 4 and 5. 7 8 6, 3' 5' 7' 9 9. 10 X ,n = 1, 2, 3, ... %D in

Q: _26. What is the 7th term of the geometric sequence whose 1st term is 4 and r = - 3? [A] 32/729 [B]…

A:

Q: What is the 2th term of the sequence defined below? = r 'n-1 +6.30

A: The given sequence is defined by r1=9 and rn=rn-1+6.30 So r2=r1+6.30…

Q: In celebration of his 50th birthday, Joel will ride his bicycle 500 miles in a year. Each month Joel…

A: Given that: Total miles to be ride by Joel = 500                    Each month he will ride 5 more…

Q: Write the first four terms of the sequence. Is the sequence arithmetic or geometric? a1 7, ak+1 = ak…

A: In this question we have to find the first four term of the sequence.

Q: 1. Write an explicit formula for the sequence below. -2, 6, -18, ... Use your formula to find a23

A: Given sequence :  -2 , 6 , -18 , ......

Q: Write an expression for the geometric sequence with first term a = 3 and common ratio r =1/ 2 . Give…

A: An expression for the geometric sequence with first term a = 3 and common ratio r =1/ 2 will be =…

Q: Write a formula for the general term of a geometric sequence. Then use the formula ??to find…

A: Answer is mentioned below

Q: Write the first 4 terms of the sequence. a = 7, a, = 3 an – 1 + 8, for n > 1 What is the first term?…

A: Given the sequence  a1 = 7  an = 3an-1 + 8   for n > 1 We need to find first four terms of given…

Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by s, = 2n…

A: Given that, Sn=2n+3n2 Formula for the sum of the arithmetic progression is Sn=n2{2a+(n-1)d} --- (1)…

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

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Q: Write an explicit formula for the geometric sequence 4. 4 3 92 4 4 7(5 pts) 27 ) * * ..

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Q: What is the common ratio of the geometric sequence? (1, 32) + 30 25 'n 20 - 15 + 10 (2. 8)

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Q: Write an expression that gives the requested term. The 12th term of the geometric sequence with the…

A: First term of geometric series  is given as;  a1=10   and   common ratio  is  r=3  aim to find the…

Q: Write an expression that gives the requested sum. The sum of the first 36 terms of the geometric…

A:

Q: 31. Find the 8th term of an arithmetic sequence with -2 and a15 = 68. (See Example 4)

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Q: Write an expression that gives the requested term. The 16th term of the geometric sequence with…

A: To determine the 16th term of the series.

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

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Q: What is the rule for the geometric sequence? 48, 24, 12, 6, .. n-1 an = 48 2 а, — 48 — 24 (п — 1) |…

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Q: Write an expression that gives the requested sum. The sum of the first 14 terms of the geometric…

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Q: Write the arithmetic rule of the sequence for the nth term 9, 13, 17, 21,... O 4+ 9(n - 1) An + 6

A: To find the nth term of the sequence: 9,13,17,21.. Solution: We know, the nth term an of an…

Q: Is the following an arithmetic sequence? State yes or no, and explain how you know. If it is…

A: Here, we will find general nth term and will check if our term is correct or not.

Q: 03. What is the third term of a sequence given the explicit formula? аn 3 —5 + 2(п — 1) А. -5 В. -3…

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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 an expression that gives the requested sum. The sum of the first 15 terms of the geometric…

A: Given,

Q: The term a,6 of the sequence {an} given by (2 3 4 5'7'9' 11

A: Follow the procedure given below.

Q: Write an expression that gives the requested sum. The sum of the first 16 terms of the geometric…

A:

Q: What is the sum of the first 9 terms of the given geometric sequence? 3,9, 27, 81, .. A 351 29,523…

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Q: What is the 2th term of the sequence defined below? [r, = 9 , = r +6.30 6

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Q: Predict the general term, or nth term, an, of the sequence. 6, 12, 18, 24, 30, ... an=0 (Simplify…

A: Given sequence: 6, 12, 18, 24,....To find: General term

Q: Predict the general term, or nth term, an, of the sequence. 3, 6, 9, 12, 15, ... an (Simplify your…

A:

Q: Which sequence is an arithmetic sequence? Choose the correct answer below O A. 8, 15, 22, 29, 36, ..…

A: In an Arithmetic Sequence the difference between one term and the next is a constant.

Q: Write a formula for the n th term of the geometric sequence. Write your answers as integers or…

A:

Q: *Find the nth term of the sequence below, starting with n = 0 .. no 3 3 -147,21,-3, | 49

A: To find the nth term of the sequence . First rewrite the terms of  sequence in the form where index…

Q: Which equation can be used to find the nth term for the sequence below? 2, 5, 10, 17, .. t= term n=…

A: The equation is:-

Q: Homework: nth term of a Sequence 2,4,8,16,... 3 5 2) 1,7 9 16 7 .... 25

A: Given query is to find the nth term of the sequence.

Q: The attached diagram represents the first three terms of a sequence:   Assuming the pattern…

A: Given,

Q: Write the first five terms of the geometric sequence with the given first term, a,. and common…

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Q: Write an expression that gives the requested sum. The sum of the first 30 terms of the geometric…

A:

Q: Write the recursive formula for the geometric sequence below. 2, -6, 18, - 54, .. A(1) = ; A(n) =…

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Q: What is a formula for the nth term of the given sequence? 300, 180, 108...

A: the given sequence is 300, 180, 108...........

Q: the sequence is arithmetic. .100, 50, 25, 12.5, 6.25,

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Q: What is the fiftieth term of the arithmetic sequence 3, 7, 11, 15, ... ? Blank 1 Blank 1 Add your…

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Q: Which explicit formula describes the geometric sequence {,,7 }? ) an= + (n-1)(좋) (중)까-1 n-1 an =…

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Q: What is the missing term of the geometric sequence below? 7,2.63.... A 3 21 28 D 35

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Q: Determine whether the sequence is arithmetic, geometric or neither. 1/6, 1/18, 1/54, 1/162, 1/486 ..…

A: Check using given terms both for arithmetic and geometric.

Q: Write the first 6 terms of the arithmetic sequence with the given properties. a=5 d=3

A: Need to find first 6 term.of AP

Q: Predict the general term, or nth term, a,, of the sequence. 15 16 17 18 19 18 19 20 21 22 an =…

A:

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.