Choose the appropriate response for each question using the sequence An+1 an + 2 and a1 = 3

Q: Write the explicit formula for each sequence. -4, 16, -64, 256, -1024, ... O None of the other…

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Q: Given t1=7, tn=3tn-1-4 , write the first five terms of the sequence

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Q: Dominique bought a block of basketball tickets numbered consecutively from 47 to 117. an = ?   How…

A: Definition used -         the nth term of an arithmetic sequence -…

Q: 6) Match the sequence given to the correct formula. 2, -4, -10, -16 *

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Q: Find the formula (nth term) of the sequence -2, 4, -8, 16, -32, .. O an = n? + 6 an = (n-5)/4 %3D O…

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Q: List the first five terms of the sequence: An a1 = 5, an+1 An +1 ai a2 , a3 a4 and a5 = ||

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Q: What are the terms a₀, a₁, a₂, and a₃ of the sequence {aₙ}, where aₙ equals a) 2n = 1? b) (-2)n?…

A: We have to find a0, a1, a2, and a3 of the sequence an.For this, we will substitute n=0, 1, 2, 3 in…

Q: Find the common ratio, the 8 term, and the three terms in the sequence after the last one given.…

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Q: Which of the following rules would be true for the given sequence of numbers? -0.2, 0.8, 1.8, 2.8,…

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Q: List the first five terms of the sequence: An a1 = 4, аn+1 An + 1 aj = , a2 = Az = a4 and a5 =

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Q: 1. a, =1-(0.2)"

A: The first five terms are found in step -2.

Q: Write the next three terms of the sequence A, C, E, G, I, . . ..

A: Our Aim is to write the next three terms of the sequence A,C,E,G.I,....

Q: A sequence can be generated by using an = a (n – 1) + 29, where a1 = 46 and n is a whole number…

A: Since, we have been given up the sequence an=a(n-1)+29 where nis a whole number greater than 1.…

Q: List the first five terms of the sequence. (-1)" - 1 an Te %3! 1. 2.

A: Since you have asked question with multiple sub-parts in a single request, we would be answering…

Q: Find the pattern and give the next three terms in the sequence: 2, 6, 11, 17, 24... Hint: How do you…

A: The given sequence is 2, 6, 11, 17, 24... Observe the patterns as follows. 2    -    2 6    -    2+4…

Q: Find the first four terms and the eighth term of the sequence.

A: Let the given general term is:                                               Tn=2nn2+2

Q: It is given that p, q, r , s, t are in arithmetic sequence. If p + q + r = 9and s + t = 26, find the…

A: We have to find common difference

Q: The third term in the sequence with a1 3 and an = an-1 + 2n where n >1 is

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Q: The given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern.…

A: Consider the given pattern. 4,-8, 12, -16,...  It is an alternating sequence having negative even…

Q: List the first five terms of the sequence. 2n an n? + 1

A: To list the first five terms of the sequence: an=2nn2+1 Solution: an=2nn2+1 Substituting n=1 in an…

Q: Given the geometric sequence cn with c1=45 and r=2/3, find c3.

A: Given problem:- Given the geometric sequence cn with c1=45 and r=2/3, find c3.

Q: a, = 3n-2n+4

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Q: List the first five terms of the sequence: an а1 — 6, An+1 an +1 a2 az = , a4 = and a5

A: Given a1=6 an+1=anan+1a2=a1+1(n=1)=a1a1+1=66+1=67a3=a2+1(n=2)=a2a2+1=6/76/7+1=613

Q: List the first five terms of the sequence: 3(-1)" an n! and a5 ai a2 аз a4

A: Given sequence an= 3(-1)n/n! Now we have to find first five terms of sequence by putting n=1,2,3,4,5…

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

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Q: 3n + n = 2 a2 Se || || || I|||

A: Explained below

Q: Write the first five terms of the sequence {an}. 1 (-1)n + 11) a1 = 3, an + 1 = an

A: We can solve as follows

Q: In a sequence of numbers, az3 = 0, a4 = 4, a5 = 8, a6 = 12, and a7 = 16. Based on this information,…

A: According to the given condition a3=0, substitute 3 for n in all the equations.

Q: Given the geometric sequence where a, = 2 and r = 2 Find a10-. 32 256/2 32/2 256 O O

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Q: Given the sequence 6, -12,24, -48, ..., determine a) t15 6. b) S15

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Q: Find the first four terms in each sequence. 1) a = 5" - 2 n

A: Given sequence an=5n-2 To find the first four terms in the given sequence. Solution: We have,…

Q: The given pattern continues. Write down the nth term of the sequence {a,} suggested by the pattern.…

A: 3, -6, 9, -12, .... From this series we see that each term is a multiple of 3. In fact the nth term…

Q: Plot the first five terms of the sequence: a 6, an an-1+(- 1)"9 Clear All Draw: Dot

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Q: List the first five terms of the sequence. a1 = 4, an+1 = 5an – 6 6. %3D %3D %3D %3D a3 a4 = a5 =

A: Given    an+1=5an-6                a1=4

Q: Find the indicated term of the arithmetic sequence a1= 3, d=-5, a6=?

A: Given: a1=3 and d=-5 in the arithmetic sequence.

Q: Given the sequence of "-2, -5,-8,-11, ...". Determine the sum of its first 20 terms. -590 O None of…

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Q: Find the next two terms of the sequence (a2 and a3):

A: Given,         an=3an-1+18an-2 with the first two terms a0=4 and a1=10.

Q: List the first four terms of each sequence. an = 3n – 9: .... b, = (-3)": .... C1 = -3, C, = -2cn-1…

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Q: Given the sequence 16, 11, 6, 1, -4 .. Represent the sequence as a table.

A: The given sequence is 16, 11, 6, 1, -4, …. Thus, the first term is 16, second term is 11, third term…

Q: In a sequence of numbers, a3= 0, a4 = 6, a5= 12, a6 = 18, and a7= 24. Based on this information,…

A: Given the terms of sequence  a3=0a4=6a5=12a6=18a7=24 First from given data common difference of this…

Q: Write the first four terms of each sequence. 1. apie symbol = 3n-1 2. apie symbol = n2

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Q: The sequence an= (8^n)/n is

A: an=8n/nthis is ∞∞ form therefore by L- hopital rulelimn→∞8nn=limn→∞8nln81=∞

Q: Write the first 4 terms of the sequence. a, = 7, a, = 8• an-1+1, for n> 1

A: The sequence is given as,         an=8an-1+1 ,     n>1 The first term is given as a1=7 We need to…

Q: List the first four terms of each sequence. an = -3n+ 8: 9 bn (5)n: C₁ = -2, Cn=-3cn-1-3: = 3....…

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Q: For each sequence, find a formula for the general term, an. For example, answer n2 if given the…

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Q: List the terms of the sequence a„ =(-1)" "™",1<n54 n+2 1<n<4

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Q: Find the sum of the first 50 terms in the sequence 2, 6, 10, 14. a. 5000 b. 198 с. 2500 d. 500

A: Given sequence is 2,6,10,14,... here the first term a= 2 common difference d=4 we have to find sum…

Q: If a=36 and r is greater than 1, will the terms in the sequence get bigger or smaller?

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Q: n 3. an ==+i 3.

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Q: Use the formula an = 4 + (n - 1)(-7) to find the eighth term of the sequence 4, -3, -10, . . . .

A: We have to find eighth term of the sequence: 4, -3, -10, ..... Since above sequence is in arithmetic…