7. The nth partial sum of the series Σa is given by S 11 n 12-1 Find the 7th term using the sum. Remember: a, = S, - S 00 Show your work in the space provided. n+1 1+2

Q: 4. for the recursivley defined sequence: Σα Find Ea; an=3an-1-2n for n22

A: The expression ∑i=14ai can be expanded as follows. ∑i=14ai=a1+a2+a3+a4   It is provided that a1=4 .…

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Q: n2 The limit of the sequence 2n + 1 2n 1 Select one: a. None of the choices -1 2. d. 1/4 a. 15

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Q: Question: What is the evaluation of the following summation of a series using n calculated from your…

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Q: (g) The nth term is 2llog n]. (h) The nth term is [. 3

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Q: Use the difference an+1 – an to show that the sequence {n – 11"}t n=1 is strictly increasing or…

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Q: n M Provide an expression for the partial sum Σ(3) 25 Use your answer to the previous part to…

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Q: from the formula for sn, n≥ 1. 8 a 2¹ +1 b) find the first five terms of the sequence 2n 2n + 1 n-1…

A: We need to find first five terms of the given sequence.

Q: 1. The general formula for a sequence is t = 2t₁-1 — n, where t₁ = 5. Find the fourth term.

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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…

Q: 14. The general formula of a sequence is t = 13 2t where t t₁ = 4. Find the fourth n 'n-1' 1 term

A: we are given the general formula of a sequence and we need to find out the fourth term.

Q: -. The general formula for a sequence is tn = 2tn-1-n, where t₁ = -7. Find the third term

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Q: '> > |ux| 'N ZuA 'N (b) 3N E N, Vn > N, Ve > 0, n| < e.

A: True or false statement

Q: 3. Find the sum of the series Σ (-1)* (4n + 4) (2n + 1) n=1 by first finding the sum Σ (-1)* x4n+4…

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Q: Find the sum: 1+ 6+ 11 + ... + 41 Answer:

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Q: Find the first six partial sums, S6, of the sequence an Simplify your answer. 1 n+1 1 n+2

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Q: (10k - 12)- (7 – 4n) x > (-6m) | 22.Evaluate the given series k=3 n=2 m=1 O A. -108 O B. -52 O C.…

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Q: 1. We're going to use the Ratio Test to figure out whether the series An= (a) First, write…

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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: n 1 Find the sum Σ 4k2 - 1 k=1

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Q: Sn = Find a formula for Sn, n ≥ 1 for the sequence -2, 1, 6, 13, 22...

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Q: 5. Find the arithmetic series of the sequence {4, 6, 8, 10, ..., 52}. a. Find n, the number of…

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