Question 14. The arithmetic sequence 2, 6, 10, ... , 358 has n terms and the sum of these n terms is S. Find n and Sn and enter your answers as integers in the appropriate boxes: (а) п 3 (b) S.

Q: 6 Answer each question based on the following arithmetic sequence. 13, 10, 7, 4. (a) Part A For the…

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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: For the sequence defined by: a1 = 2 5 - 1 an+1 = Find: a2 az = a4 =

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Q: Question 1 (a) (i) Write down the first four terms of the sequence 12 ao = -2, a, = an-1 %3D (n +…

A: We have to find the four term

Q: QUESTION 6 For the sequence an = [n+ 1/2], a7 is %3D O A. 8 O B. 6 O C.9 O D. 7

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Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ... a = 32· 4"-1 %3D A a = 2.4"-1 a…

A: Given, the sequence                2,   8,   32,  128 ....... So , by observation 2 = 2. 40   8 =…

Q: In an arithmetic sequence {a1, a2, d3, - the first term is 6 and the 11 term is 46, then S1 is 330…

A: Use the formula for the sum of  n terms of an arithmetic sequence.

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: Question 19 |12 and r = V2. What is the In a geometric sequence, a1 = approximate sum of the first…

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Q: 1. Answer the following questions with a solution. a) Write down the stated term for the nth term of…

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Q: 19 Find the explicit formula for the given sequence. 2, 8, 32, 128, .. A an = 2+4 (n – 1) B an = 4+2…

A: Given sequence 2,8,32,128...... We notice that  a1=2=21 a2=8=23 a3=32=25 .......

Q: Let ("), n-3n+36 and (") be the first three terms of arithmetic sequence. Find the sum or first 25…

A: nC2, (n²-3n+36)/2 and (n+1)C2 be the first three terms of AP   we know that    definition of nCr =…

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

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Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, . .... a = 2.4"-1 A a = 8.4"-1 %3D…

A: We have the given sequence is 2,8,32,128............

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: Let the sequence be defined by the formula an=5n−3. For what value of n is an=97

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Q: In an arithmetic sequence (a1, az, a3, .....) the first term is 9 and the 24th term is 124, then S24…

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Q: Question 6 The five first terms of the sequence {4n-1}-1 are: O 3,7,11,15,19,... O 3+7+11+ 15 +…

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Q: A formula for the sequence 0, 3, 8, 15, 24, is Select one: О a.(п - 1) (2n -1) O b.n(2n + 1) О с (п…

A: Given sequence is 0,3,8,15,24..... Now we can write, 0=1-13=4-18=9-115=16-124=25-1

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

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Q: In geometric sequence a1, a2, · · · , an , if a4 = 405 and ag = 3645, then the common ratio is 4 O 3…

A: To find the common ratio

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: If {8,11, 14, 17,.....} is the given arithmetic sequence, then the common difference d = O 3 -8 -3 O…

A: The given sequence is                                 {8,11,14,17,.....}     The first term of the…

Q: Choose the correct statement(s) for given sequence 2n an n2 +1

A: a sequence is converges if  limn→∞     n = finite

Q: If a, = 2 and a = 2a, n -1> find the first five terms of the sequence.

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Q: In an arithmetic sequence {a1, a2, a3, -} the first term is 5 and the 19th term is 95, then S19 is

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

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Q: The general term of the sequence 1, 24'8 ... , starting by n=1 is to0 1 (i) n=1 +00 1 (ii) n=1…

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Q: In an arithmetic sequence {a1, a2, a3, ·} the first term is 7 and the 14th term is 46, then S14 is…

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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: Question 4 For the sequence defined by: a1 = 2 an +1 + 3 an Find: a2 = %3D a4 = %3D Question Help:…

A: A sequence is a function from the set of natural numbers to the set of real numbers. A sequence may…

Q: Question 3 The next number in the sequence 0,3,8, 15, 14, ... is

A: Given sequence is 0,3,8,15,14,...

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: In an arithmetic sequence {a1, a2, az, · .....} the first term is 6 and the 20th term is 101, then…

A: Given : a = first term =6

Q: Question No : 18 of 26 Let a, a, a,,a, be an arithmetic sequence, then sum of the terms of sequence…

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Q: Given the arithmetic sequence of 4, 2, 0, -2, . .fund an explicit rule for the nth term. O an = an 1…

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Q: Provide the first 4 terms of the sequence {an} = n", where n ≥ 1 {an} 1 4 = 27 Question 2 What is…

A: The solutions to the given questions are given below

Q: Given the sum of the first 6 terms of a geometric sequence is 27,342 and the common ratio is 5,…

A: Sum of first 6 terms of a geometric sequence is 27342 and common ratio is 5 we have to determine the…

Q: 1. a) Determine the first three terms of each sequence, where ne N. b) Determine whether each…

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Q: Write the first five terms of the sequence given by an = 2 ^n/n!, Begin with n=0

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: 1 The table below identifies the values for the first 5 terms in an arithmetic sequence. 1 2 3 4 5…

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Q: 8.1.4 Write out the terms a_1,a_2,.....,a_6 of the given sequence. a_(n)=3/((n)+4) Is this right?…

A: Given:The general term of the sequence is

Q: a) Suppose the fifth term of an arithmetic sequence is 18 and the sum of the first eleven terms is…

A: We need to solve these questions using the equations related to arithmetic and geometric sequence.

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

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Q: What are the terms ao, aj, a2, and az of the sequence {an}, where an equals b) (n + 1)"+l? d) [n/2]…

A: a. an=2n+1. The terms become a0=20+1=1; a1=21+1=3; a2=22+1=5; a3=23+1=9 Therefore, the terms of the…

Q: 15. What is the sum of all integers from −20−20 to 8080 ? A.3,000  B.3,060  C.3,030 D.3,450

A: Solution: Given: 15. What is the sum of all integers from −20 to 80?

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: Question 3: Generate the first 100 terms in the sequence a(n) with p = 2.2 and a(1) = 0.4: a(n + 1)…

A: n = 100; a = zeros(1,n); p = 2.2 a(1) = 0.4 for c = 2:100 a(c) = p * a(c-1) * (1 - a(c-1)) end

Q: QUESTION8 Given the following sequence, provide the (unsimplified) 20th term: -2, 3, 8, 13, ... From…

A: To find the 20th term