The first three terms of an arithmetic sequence are given. Find an expression for t in terms of n, and write the tenth term for each sequence. 10.2, 11.3, 12.4,.. t in 10

Q: Given two terms in an arithmetic sequence find the first five terms. 2) a = 24 and a, = 64 %3D 10 30…

A: The nth term of an arithmetic sequence is given by      an = a+(n-1)d  Where a is the first term and…

Q: Write the first five terms of the sequence. Determine whether the sequence is arithmetic. If so,…

A: Remark: Arithmetic sequence: An arithmetic sequence is a sequence where each consecutive term differ…

Q: An arithmetic sequence is given b elow. 28, 22, 16, 10, ... Write an explicit formula for the n th…

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Q: How many terms are in the arithmetic sequence 7, 1, –5, ...,-161? Hint: An = a1 + d(n – 1) where a1…

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Q: Write the first five terms of the sequence a1 = 3, an = -an-1 + 4. Assume that d represents the…

A: Given, first term a1=3 nth term an=-an-1+4.........(1)

Q: (b) Define Sequence? Find the first five terms of the following. (-1)"-1.2"*+1

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Q: Find the values of x for which the sequence 6, x, 12, . . . is(a) arithmetic (b) geometric

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

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Q: a) Let an be an arithmetic sequence. If as 94, a6 = 85, find the common difference d and the formula…

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Q: Determine as and an for each geometric sequence. See Example 2. 15. a₁ = 5, r=-2 16. a₁ = 8, r=-5 +…

A: geometric series

Q: Find a formula for an for the arithmetic sequence. a1 = 0, d=- a. 4 аn - Эл - 5 b. an An=-31+3 d. 4…

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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: The first three terms of an arithmetic sequence are given. Find an expression for t in n terms of n,…

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Q: Express the arithmetic sequence as an explicit formula. Then find the 50th term. Sequence: 5, 12,…

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: Find an explicit formula for the arithmetic sequence Cn that is given below. Note that C1 = -2.…

A: you can clearly understand if you follow the below solution

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: For Exercise, the nth term of a sequence is given. Write the first four terms of the sequence. d, =…

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Q: Determine if the sequence if geometric. If it is, find the explicit formula for the nth term, and…

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Q: 1. How many terms are there in an arithmetic sequence where a̟ = 12,an = 60 and d = 8? %3D

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Show that the sequence is arithmetic. Find the common difference and write out the first four terms.…

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Q: Write an equation for the nth term of the given arithmetic

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Q: Find a formula for an for the arithmetic sequence. aj = 0, d=- a. 4 An=3n- 3 b. An=- 4 An=-n с. d. 4…

A: Given first term = a1= 0 and common difference = d= -4/5

Q: How many terms are in the arithmetic sequence 7,1, –5, . , –161? .... Hint: an = a1 + d(n – 1) where…

A: The given arithmetic sequence is,7,1,-5,....,-161

Q: A sequence is defined by an = -5+ (n 1)14, where n is a positive integer. What is the value of a10?…

A: Given general formula for a sequence.

Q: An arithmetic sequence is given below. -6, -11, -16, -21, ... th Write an explicit formula for the n…

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Q: a12 for 96, 48, 24, ...

A: In General, we write a Geometric sequence ,                   a, ar, ar2, ar3....where , a is the…

Q: The first three terms of an arithmetic sequence are given. Find an expression for t, in terms of n,…

A: The given sequence-1,-2,-3,......

Q: 05. What is the third term of a sequence given the explicit formula? an 3 —5 + 2(п — 1) A. -5 B. -3…

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Q: An arithmetic sequence is given below. -6, - 13, - 20, -27, ... th Write an explicit formula for the…

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Q: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = -0.6, a2 = -14…

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Q: The first three terms of an arithmetic sequence are given. Find an expression for t , terms of n,…

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Q: Consider the following arithmetic sequence. 7, 10, 13,    (a) Identify d and a1. d =    a1 =

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Q: For sequence A, describe a way to produce each new term from the previous term. Sequence A term…

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Q: Find the general term an , for the sequence 3,7,11,15,

A: Given sequence is 3, 7, 11, 15. We have to find the general term an. Here, 7-3=4 11-7=4 15-11=4…

Q: Determine whether each sequence is arithmetic, geometric, or neither. Find t,. -k?-k+1, k+2, k²+3k…

A: The given sequence,   -k2+k+1, k+2, k2+3k+3, 2k2+5k+4,.....

Q: The 8th term of the geometric 1 1 4 sequence 2 3'9' 27

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: O Q 12. Use the function formula to find the term of the geometric sequence. 2, 8, 32, 128, ... Find…

A: We can find the 8th term as below

Q: 10. Find the sum of the first 40 terms of the arithmetic sequence {1,6, 11, 16, . ..}. Make sure to…

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Q: 1 4 9 9 16 3'9 27'81

A: The given first four term are -13,49,-927,1681. Rewrite the first four term as follows:…

Q: 12. The 8th term of an arithmetic sequence is 16, and the 18th term is 56. Find the sum of the first…

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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: Write the first five terms of the arithmetic sequence. an=an-1+4; a 1 = 11 04, 15, 26, 37, 48 O 11,…

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Q: Find the nth term of a sequence whose first several terms are given. 10 11 9' 10' 11' 12' an = Need…

A: The given sequence is 89,910,1011,1112,....

Q: The first four terms of the arithmetic sequence are given below. Determine an. 15, 11, 7, 3, ... О…

A: The first four terms of the arithmetic sequence are given below 15,11,7,3 To find: an

Q: Given the explicit formula for an arithmetic sequence find the first five terms and the 52nd term:…

A: Given, an = -10n - 26 for 1st term n = 1 ,  a1 = -10 *1  - 26 = -36 for 2nd term n = 2 ,  a2 = -10…

Q: How many terms are in the arithmetic sequence 5,1,-3,...,-99? Hint: a, =a1 +d(n-1) is the first term…

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Q: The nth term of an arithmetic sequence is given. an = 1/2(n-3) (a) Find the first five terms of the…

A: Given:The nthterm of the arithmetic sequence is an=12(n-3)To find:a) we have to find the…

Q: 4. Which of the following illustrates arithmetic sequence? * O 1,1, 2, 3, 5, 8 O 2, 4, 8, 16, 32 O…

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Q: 9. If the first three terms of a arithmetic sequence are 1 + k, 2k + 1, and 7, what is the sum of…

A: Given that: First three terms of an arithmetic sequence are:   1+k, 2k+1, and 7