3. Given an arithmetic sequence with first term aj and common difference d, the nth term is represented by the formula an or by the recursive formula an for n 2 2.

Q: th (a) Write a nonrecursive formula for the n term of the arithmetic sequence a based on the given…

A: We need to write a non-recursive formula.

Q: 4. What is the 11th term of the geometric sequence {1,000,000; 100,000; 10,000; ...}? O a11 = 0.100…

A: Here we find the 11th term in geometric sequence.

Q: What is the first term of the geometric sequence presented in the table below? 3 8. 84 -2,688 Hint:…

A: topic - geometric progression

Q: If the 100th term of an arithmetic sequence is 200, and its common difference is 2, then its first…

A: Given an arithmetic sequence100th term of this A.P=a100=200common  difference=d=2

Q: 1. Find the first four terms of the sequence whose nth term is an = 2 + 3n. * 5, 7, 9, 11 O -1, -4,…

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Q: Which explicit formula describes the geometric sequence {1/3,1/9,1/27, 1/81…}? A. an= 1/3 (3)^n-1…

A: Given sequence is: 13,19,127,181, ...

Q: Find the sum of the finite geometric sequence. E(-3)" - (-3)" – 1 n-1

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Q: 3 Suppose we know the second term of a geometric sequence is and the fourth term is 50' Further,…

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Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next…

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Q: If the 100th term of an arithmetic sequence is 584, and its common difference is 6, then its first…

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Q: What is the recursive formula for the geometric sequence 2, 6, 18,54, O A an 3, if n = 1 3- a, if n…

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Q: True or False For an arithmetic sequence {an } whose firstterm is a1 and whose common difference is…

A: Arithmetic sequence

Q: 2 if it exists. 6 Find the infinite sum of the geometric sequence with a = 3, r = Preview

A: Given  a = 3  r = 2/6

Q: 1. Find the first five terms of the geometric sequence for which a1 3 and r = -2. %3D

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Q: 3. What is the 10th term of the sequence whose nth term is an = (n^2+2n-3)/(n+1) ? * O 117/11 O…

A: We are given the nth term of the sequence and we need to find the tenth term of the same. This can…

Q: 3. Given the recursive sequence defined by a1= 1, az= 2, an= 3an-r+2an-2 , find the terms a3, a4,…

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Q: If the general term of an arithmetic sequence is :- 1 2n. T(n) = %3D then the

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Q: 1.) Find a decimal representation of 1/3. 2.) Find the sum of the first 50 even natural numbers.…

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Q: 4. What are the first five terms in the recursive sequence defined by the following? a1 = %3D an =…

A: If you have given a recurrence sequence and given first term then using first term in the recurrence…

Q: For what value of K will K, K-2, K-3 be in terms of geometric sequence?

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Q: 3) The value of az in a geometric sequence given ba, + a, = 16a, a10 = 62 and all terms are postive,…

A: It's a geometric sequence problem so for better understanding I'm providing hand written solution.

Q: Suppose that the 8th term of an arithmetic sequence is -1 and the 20th term is 2. Write the general…

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Q: | 1. What are the first five terms in the recursive sequence defined by the following? = Ip An =…

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Q: Let (an) be the sequence defined by a1 = 5 and an = 2an-1 – 3 when n > 2. What is a4?

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Q: Given that the first term of an geometric sequence is 2 and the common ratio is 3 what is the…

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Q: An arithmetic sequence whose first term is 4 and base is 3, so the sec ond and fifth terms are equal…

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Q: 2. The difference between any term after the first and its predecessor in an arithmetic sequence is…

A: It is known that for an arithmetic sequence, difference between two consecutive term is called…

Q: Suppose that a sequence is defined as follows. a1=-2, for n>2 an= 3a,-1+2 List the first four terms…

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Q: 2. Given that a10 = 78 and a25 = 198 are terms of an arithmetic sequence, find an. 3. 6, 10, 16,…

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Q: 5. Find the 6th term of the recursive sequence defined by a₁ = 0, an+1=2a₁ +3.

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Q: 4 if it exists. 8. Find the infinite sum of the geometric sequence with a = 5, r = I.

A: The infinite sum of the geometric sequence with the first term ''a'' and common ratio r  is   .…

Q: Suppose that al, a2, a3, .. is an arithmetic sequence with common difference d. Show that 10, 10,…

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Q: 1. - Determine whether the sequence is arithmetic, geometric, or neither. 1 1 1 1 2'3'7'5'* 2.…

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Q: 1 n(n+1)

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Q: 1. The first term of an arithmetic sequence is equal to 200 and the common difference is equal to…

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Q: 1. Find the sum of the first eight terms of the geometric sequence 3,6,12, * ...

A: 1. We have find the sum of first eight terms of the geometric sequence 3,6,12... Formula for sum of…

Q: Given a geometric sequence whose first term is 3 and its common ratio is Find i) the 8 term, ii) the…

A: a=3  &  r=12. i. Eighth term is, T8=ar7    ∵Tn=arn-1=3127=3128

Q: If the first term a, and common difference d of an arithmetic sequence are 3 and respectively then…

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Q: 1. Find the first 11 terms of an arithmetic sequence in which the third term is 10 and the eleventh…

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Q: Let the arithmetic sequence be defined by the formula a = 5 + (n-1) * 7 Apply the concepts of adding…

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Q: Let the arithmetic sequence be defined by the formula un=11+(n - 1) x 6 Apply the concepts of the…

A: An arithmetic sequence is a set of numbers that obey a specific mathematical expression called its…

Q: 3. Find the 23Td term of the arithmetic sequence whose common difference is d = 4 and whose first…

A: Find the 23rd term of the arithmetic sequence

Q: What are the first five terms in the recursive sequence defined by the following? a1=0 an=an−1−1.4…

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Q: Is the sequence shown in the picture bounded? Why or why not? What work has to be done to show if a…

A: The given sequence is: an=1,4,7,10,.....  Given sequence is a arithmetic progression with: an…

Q: What is the common ratio, a1, a2, a3, and a4 of this geometric sequence: {(7^(n-2))/3}

A: Consider the provided geometric sequence,

Q: If the 100th term of an arithmetic sequence is 589, and its common difference is 6, then its first…

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Q: Find the first six terms of the piecewise sequence: S( - 2)" (– 2)" – 3 if n is even an = | 3-1 – 4…

A: n=1 , 3 , 5 are odd, so we use the second piece

Q: Suppose a geometric sequence has a1 = Give your answers to the following rounded to the nearest…

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Q: Let be the arithmetic sequence defined by the formula a = 11 + (n-1) × 6 Apply the concepts of the…

A: Given tn= 11 + (n-1) × 6 Compare with tn= a+ (n-1) d⇒a=11,d=6