Find the closed formula for each of the following sequences (an)n>1 by relating them to a well known sequence. Assume the first term given is a₁. a. 0, 3, 8, 15, 24,... an = b. 2, 4, 7, 11, 16,... an = c. 6, 11, 18, 27, 38, ... an= 8-

Q: The 11th term in the sequence 1/6, -1/2, 3/2, -9/2, ...... can be written as ______?

A: Given geometric series,       16,-12,32,-92,.....

Q: Give the common ratio of the * sequence 10, 2, 2/5 , .... O 1/ 5 O 5 O -5 O - 1/ 5

A: common ratio is the ratio of particular term to previous term.

Q: 3. Find the formula for the following sequences i. An explicit formula for 2, 6, 18, 54, 162,....…

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Q: Suppose a, is the sequence such that a, = -3 - (-1)". Find 25 Li-5 đị. O a. 325 - 35 O b. -3 Ос. 3 O…

A: Given sequence is an=−3⋅−1n. We have to find the ∑i=525ai.…

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: Find the first four terms of the finite sequence an= 3n A.3,6,9,12 B. 3, 7, 10, 13 C. 1, 3, 6, 9 D.…

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Q: Determine the explicit formula for the following sequences. 4. Sequence: }, ,7, 3, 4, ... a, = } and…

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Q: Which sequence could be described by the recursive definition: tn+1 = -1(tn) + 3 O A. (-9, 6, -3, 0,…

A: Given recursive formula is tn+1=-1tn+3.

Q: 4n2 + 2n + 6 6, 15, 24, ...,

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Q: 7 11 a, for 1,- '3'3

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Q: Which of the following is the value of x to make x + 1, 4x – 7, 2x + 5,… an arithmetic sequence.

A: We will find the value of x for which the given sequence will be  an arithmetic sequence as…

Q: Which sequence could be described by the first term: Aj = 1 and the recursive (an)² + 1 definition:…

A: Given, an+1=an2+1 a1=1

Q: Find the 8th term of the following sequence 6, 12, 24, . . . .

A: series = 6,12,24...   we see that the each value in the series is getting multiplied = 2*previous…

Q: Which term of the arithmetic sequence 1, 9, 17, 25, It is the th term. Calculator ... is 297?

A: Given that  First term = a1 = 1 , Second term = a2 = 9 nth term = an = 297

Q: A. Determine the next three terms for each sequence. 1. 8,1, -6, -13,-20 2. 4, 11, 18,25,.... -5,-8,…

A: In all question has some basic logic like same difference or addition etc

Q: Find the closed formula for each of the following sequences by relating them to a well known…

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Q: 4. Find the value of x so that x+7, -x-1, x+ 13,.. shall form a geometric sequence.

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Q: Suppose the sequence goes; 4, 8/3, 16/9, 32/27,... please find the sum of the first 25 even terms

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Q: Find the 60th term of the sequence 5, -2,-9,-16,... O a-478 O b.non of them

A: Here given as 5, -2, -9, -16, ...... The first term of sequence is a1=5, Also the common difference…

Q: The odd numbers are the numbers in the sequence 1, 3, 5, 7, 9, . ... Define the sequence of S-…

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Q: Complete the explicit formula for the geometric sequence 5,10,20,40,80,... an

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