III Use the given nth term formula to compute the first six terms of the sequence. n2-1 1. an = 2-n 2. an = (-1)7+1n2 3. an 12

Q: An arithmetic sequence is given by an+1 = 2 and azn+1 = 14. Express the arithmetic sequence in terms…

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Q: n+1 Find the 4 first term for the sequence { a,} where az=2, an=an-1

A: Solution:-

Q: 1 Find the first 10 terms of the sequence an = an-1 Its 9th term is Its 10th term is and a1 = 14. =

A: Given sequence is  an=1an-1 Given a1=14 We need to calculate first 10 terms of the sequence.

Q: Write an expression for the apparent nth term a, of the sequence. (Assume that n begins with 1.) 5 6…

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Q: 16.Consider the first 3 terms of the sequence a, (where k 2 2). A. Give the first 3 terms of the…

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Q: Find the 9th and 10th terms of the sequence a, = 5n + 3. The 9th term is The 10th term is

A: Given : an = 5n+3

Q: 1. The general formula for a sequence is t = 3t₁ - ₁ - n, where t₁ = 3 Find the fourth term.

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Q: Find the requested term. Find the 17th term of the sequence Sn 5n - 3. %3D S17 = %3D

A: We have to find the 17th term of the sequence sn=5n-3.

Q: th Write an explicit formula for an, the n' term of the sequence 12, –6, 3, .... Answer: An Submit…

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Q: (a,) is a sequence and a, =3, n21 for 5a =a. What is the general term of this sequence? a. a, O b.…

A: We will generalize result by finding first few terms

Q: th Write an explicit formula for an, the n' term of the sequence 4, –20, 100, ....

A: We have to find nth term

Q: 13. What is the twelfth term in the sequence an = 3n - 22? 09 0-7 O 14 O26

A: Find the twelfth term

Q: 1 3. Which of the following formula is the general term of the sequence 4. > 65 ? - 28 O a. (-1)"+1,…

A: Will try to recognise a pattern in the given terms to find the formula for general term

Q: 10 For the sequence an n+1 its first term is its second term is its third term is

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Q: Consider the sequence given by an = 2 – 6n. a. Find the first 6 terms of the sequence. What sort of…

A: If the difference between two successive terms in a sequence is constant, then the sequence is an…

Q: Find the first six terms of the piecewise sequence: S(- 2)" n – 7 if n is even - An 3n – 1 if n is…

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Q: 9. a) The formula for the nth term of the sequence n(n+1)(2n+1) 1, 5, 14, 30, 55, 91,... is 6 Find…

A: Given that:(a) 1,5,14,30,55,..  nth term = n(n+1)(2n+1)6(b)10, 17, 26, 37, 50,..., nth term…

Q: n-1 (€) What will be the 7th term in the sequence defined by In = 2 · Enter your answer as a…

A: The objective is to find the 7th term of the sequence.

Q: Find the explicit formula for the geometric sequence tn given below. Note that tj =7. 7, 14, 28, 56,…

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Q: th Write an explicit formula for an, the n" term of the sequence 2,-5,-12, ....

A: Given:2,-5,-12,.......Given sequence is in A.Pa=2…

Q: 14. If a sequence is defined by a, = n² +9n , a) find the sixth term, a̟. b) find the sixth partial…

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Q: (a,) is a sequence and a, =3, n21 for 5a =a. What is the general term of this sequence? O a. a, = 5…

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Q: Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.) 3, 11,…

A: In the sequence, common difference is (11-3)=8 And first term is = 3

Q: find the nth term of the arithmetic sequence {an} whose initial term a and common difference d are…

A: Question 21 - a1 = first term = 0d = common difference = 12The nth term of the AP is given by - an =…

Q: 01. Which sequence has a common ratio of 2/3? A. a, = 910(m-1) D. f(n) =+ 10(n – 1) B. f(n) =…

A: we have to find a sequence among following with common ratio 2/3.

Q: Find the requested term. Find the 60th term of the sequence Sn = (-1)"(n + 1). %3D S60 %3D

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Q: 12 Find the first 10 terms of the sequence an = n its 9th term is its 10th term is

A: Our Aim is to find the first 10 terms of the sequence an=12n-(i)

Q: 3. Find a formula for nth term of the sequence 1, 1 1 4' 16' 25

A: Simplification

Q: 3a. The first term of a geometric sequence is 36 and the fourth term is 1/6. What is the value of r?…

A: We have to find r

Q: C. Use the given nth term formula to compute the first 6 terms of the sequence. 1. a, = 2-n 2. a, =…

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Q: 1. List the first five terms of the sequence (-1)"-1n An n! + 3 n > 1.

A: We have to find first 5 term of Given sequence.

Q: Find the 5th term of the sequence with formula an+2=2an+1 + an where a1=1 AND A2=1

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Q: Find an for a sequence with the 8th term 28 and the 10th term 42. а. 8n + 28 7n + 28 7n - 14 b. с.…

A: We have to find the general formula for the sequence whose 8th and 10th terms are given

Q: 12. Find the first 5 terms of the sequence: 2n a, = (-1)" а) 2 n² +1 b) a, = 4a - 5 n-1 and ª1 =1

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Q: Consider the sequence given by an = 2 · 3n-1. a. Find the first 4 terms of the sequence. a1 = , A₂=…

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Q: 1. Write the explicit formula for the sequence. Then find the fifth term in the sequence. a₁ = 120,…

A: Considering the sequence to be geometric

Q: Find the explicit formula for the geometric sequence an with the following information given. 4 A4…

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Q: Write an expression for the apparent nth term (an) of the sequence. (Assume that n begins with 1.)…

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Q: n-1 What will be the 7th term in the sequence defined by gn = 2 · (-) ? Enter your answer as a…

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Q: A sequence {a n} is defined as follows: ao =2 a1 = 1 for n22,an=3•an-1-n·an-2 +1 What is a3?

A: a3=-2

Q: 11. It is a sequence where every term after the first is obtained by multiplying a nonzero constant.…

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Q: Find a formula for the nth term of the sequence. 3, 10, 29, 66, 127, . Determine the sequence's…

A: When ,f(1) = 3 ⇒13+2f(2) = 10 ⇒23+2f(3) = 29 ⇒33+2f(4) = 66 ⇒43+2f(5) = 127 ⇒53+2

Q: a) The formula for the nth term of the sequence n(n+1)(2n+1) 1, 5, 14, 30, 55, 91,... is 6. Find the…

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Q: Find the 9th and 10th terms of the sequence an = 3n + 2. The 9th term is The 10th term is

A: We need to find 9th and 10th term of sequence given.

Q: 4. Consider the sequence given by an = 2 – 6n. a. Find the first 6 terms of the sequence. What sort…

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Q: 4 5 The nth term of the sequence 2, is .. 4 ' 9 16 Select one: a. n2+1 n2 b. n2 n+1 C. n+1 n2

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Q: 1. Consider the sequence b, below. bn: 3,-1, -5, –-9, ... Write a formula for the nth term of the…

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Q: Find the 9th and 10th terms of the sequence an = 5n+ 1. The 9th term is The 10th term is

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Q: 2 Q2: The nth term of the sequence 2, 9' 16 2n is (a) 을 (b) (c) NIO HIN

A: #2 Find nth term

Q: write an expression for the apparent nth term (a„) of the sequence. (Assume that n begins with 1.)…

A: By "the nth term" of a sequence we mean an expression that will allow us to calculate the term that…