Find a FORMULA for the general term an of the sequence {2, 20, 2, 20, 2, · · · } Assuming that the pattern of the first few terms continues.

Q: 9. Find a formula for the general term an of the sequence: {1,0,1,0,1,0,1,0,...}

A: Given sequence is  { 1,0,-1,0,1,0,-1,0,....} Now we give formula of this sequence

Q: Find the common difference and the sum of the first 5 terms of the arithmetic sequence. an = 5n – 2

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

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

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

A: The given series is: 7,8,9,10,11,... So, the first term of the series is: a1=7 which can be written…

Q: Find the missing terms of the sequence and determine if the sequence is arithmetic,

A: Sequence is said to be geometric when it has common ratio and arithmetic when it has common…

Q: Find the direct formula of a sequence given by 3, -6, 12, -24, 48... an = (-2)n-1 an = 3(-2)n an =…

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Q: Write a rule for the n th term of the geometric sequence for which a, = 64 and a,=1.

A: Solving by geometric sequence we have

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

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

A: The given sequence is: To find the general formula.

Q: Find the nth partial sum of the arithmetic sequence for the given value of n. -6, -1, 4, 9, ..., n =…

A: We will find the 100th term first and will add first 100 term to find nth partial sum for n= 100

Q: An arithmetic sequence is a sequence in which each term after the first differs from the preceding…

A: Given That: Definition of Arithmetic sequence.

Q: Which of the following sequence is an example of a geometric sequence? * O 2, 4, 8, 16, . O -20,…

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Q: 1.2.3 1.2.3.4 1.2.3.4.5 1.2.3.4.5.6 7 8 9. 10

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Q: Find the 37th term of an arithmetic sequence whose second and third terms are −4 and 12.

A: Note:-  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find

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Q: Consider the sequence whose nth term is an = 4n - 3. Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

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

A: We can find the general term an   as below

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

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Q: Find the value of the first four terms of the sequence: an 1 and a = 1. 1+an-1

A: We plug n=2 to find the second term

Q: the sequence {12, 4, −4, −12, −20, } assuming that the pattern

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

A: The solution of the sequence is :

Q: Find an explicit formula for the sequence of the form a1, a2, a3, . . . with the initial terms…

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

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

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Q: Write an expression for the nth term of the sequence 1. 1, (1/4), (1/9), (1/16) 2. 2, -1, (1/2),…

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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: Find the first four terms of the sequence given by the following. an= (-1)^n-1 x3n^2 n = 1,2,3

A: Given that: an=(-1)n-1x3n2  , n=1, 2, 3,

Q: Find the common difference and the sum of the first 8 terms of the arithmetic sequence. an = 4(n-1)…

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Q: Find the sum of the first five terms of the sequence with the given general term. an = (−1)n

A: Given sequence, an=(-1)n Put n=1 to 5 to get first five terms of sequence then add them.

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

A: Given The sequence =  1 , - 5 , -11 , -17 , -23 ............ Let's assume First term = a1 = 1

Q: Which of the following sequences is an arithmetic sequence? Why? 1. 10, 15, 20, ... 2. 2, 4, 8,16,…

A: Using definition of Arithmetic Sequence.

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

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Q: Find the formula of the nth term of the sequence {1,2,4,8,16,..}

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

A: The given sequence is:  8, 7, 6, 5, 4, ...

Q: Find the sum of the first five terms of the sequence with the given general term. an = 4n

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Q: {3, 6, 12, 24, 48, 96, 192 } How do I find the explicit formula for this sequence?

A: Given sequence is 3,6,12,24,48,96,192 To find the explicit formula. Solution: Here, we have a1=3…

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

A: Given : 6, 3, 0, -3, -6,…

Q: A. what is the 3rd term of the sequence defined by an=(-2n)n? B. What is the sum of the sequence…

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Q: Find the formula of the Sequence. 1.) 2,1,3,4/3,15/4..., or 2, 2/2, 3/1, 4/3, 5(3)/4,...-

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

A: We have to find the general term for the given sequence.

Q: Write a recursive formula for the sequence 8, 10, 12, 14, 16, .. Then find the next term.

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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 a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Solving the problem by finding the n th term of the given sequence.

Q: Write the nth term of the following sequence in terms of the first term of the sequence. 1, 8, 15,…

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Q: Consider the sequence whose nth term is an = 4n - 3.Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: an=4n-3. Put n=1, 2, 3, 4, 5 in an=4n-3, we get a1=41-3=1a2=42-3=5a3=43-3=9a4=44-3=13a5=45-3=17

Q: 12) Find the n-th term of the Sequence 12,8,4,0,-4,-8,..

A: nth term of the arithmetic sequence :  an =a+(n-1)d , where , a-first term and 'd' is common…

Q: Write the first 5 terms of Geometric sequence whose nth term is an = 6(1/2)n-

A: We will solve the problem

Q: Find the nth term of a sequence whose first several terms are given. 2/3, 3/4 , 4/5, 5/6

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Q: and determine if the sequence is arithmetic, geometric, or neither 1/3, 1,3,9

A: In this question we will use basic of algebra i.e concept of sequence and series. Solution of the…

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.