Find a formula for the nth term of the following sequences: (a) 1, 1, 1, ... An = 4 9 (−1) n+1 1 n 2 % 3 4 (b) 1, 1, 1, ... 4' 5 6 bn n+1 - n+2 - Assume a starting index of n = 1.

Q: 4n+1 ii. an = 3"/(1 + 3") n! a. II

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Q: 2. dy sin x - y where f(n) = 0. %3D dx

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Q: 2. Find the general term of the sequence: 2'5 3- 2n 3n-1 3n a. C. d. b.

A: By assuming the values of n and checking with options we will get the answer

Q: 3. Xn = (-1)(n² -n+7) 4. x, = 2-* %3D 5. X = (-1)"-1n- %3D

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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Q: 6. For each of the following sequences, find a formula for the nth term, find the 20th term, and…

A: By Bartleby policy I have to solve only first one as these 2 are unrelated problems,but I am solving…

Q: Re-index each of the following sequences to start at the indicated initial index 1 no = 3 and no 12…

A: To re-index a sequence a1, a2, a3,…,an…, starting from n0=k, we change the formula by replacing n by…

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Q: Find the nth term of the given sequence, where n= 1,2,3... 1/5, 4/9, 9/13, 16/17...

A: The given sequence is 15, 49, 913, 1617,⋯ Here numerators of the fractions are 1, 4, 9, 16 which are…

Q: 2. The first few terms of a sequence (x) are given below. Assuming that the “natural pattern’…

A: Here, we have to given first few terms of a sequence. Assuming that the natural pattern indicated by…

Q: One of the following sequences is monotone increasing. Select one: a. (e-") O b. 1+n2, C. None of…

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Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r =. 3. a, = (2)(J)*| n+1…

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Q: 3. Consider the sequence a, =an-1, with a, = 6 and evaluate the following summation. ak k=1

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Q: Let an = 1 for n = 1, 2, 3, ... . Write out the the first three terms of the following sequences. 3n…

A: Given  To find (a)  then find (b)  then find (c)  then find (d)  then find

Q: (r1 = 11000 \n = 0.7rn-1 Identify the sequence as geometric or arithmetic. * D Arithmetic O…

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