Consider the series too such that the general term of k=1 the sequence of partial sums is: 5T+1.(4n-1) Sn 16 16 So the exact value of: 5 k=5 4+5.5+ 5°.6 + ..+ 540 . 40 corresponds to: 541.159 53.7 (e 16 16 5. 11 540 155 b) 16 16 540 155 c) 16 16 5-11 541 159 d) 16 16

Q: Σ - is a Series and that that an Suppose 121 {S. 3 is the sequence of partial sums. If Sn = 1243-1…

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Q: k – 1 5) k = 1 2 2 A) -2 В) 1 | C) 2 D) No sum

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Q: 7. The nth partial sum of the series Σa is given by S 11 n 12-1 Find the 7th term using the sum.…

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Q: The sum of the series 1) is 1 n =1n+1 O A. -1 О в. 1 OC.O O D.1 O E. a 10 1/2 立

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Q: 2n n+ 3 -8 I. (-3)" n=1 1 II. 2" A) I only B) Il only III only

A: ∑2n/(n+3)n=1∞ ∑-8/(-3)^nn=1∞ ∑1/2nn=0∞

Q: 00 00 7 32 57 'first S, = >, a, = lim S, = 1-r = - 'n, 5k 3* 4 n=blah

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Q: 100 8. The nth partial sum of the series = 1 an is given by Sn Find the 5th term using the sum.…

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Q: G₂- Let Sn = a; be the nth partial sum of the series . Suppose that S, is given by S₂ = 5- i-1 (a)…

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Q: 12a) n=l 3+1 22n-3 12b) M=1 1 'n' + 9n + 20

A: Part a) ∑n=1∞3n+122n-3By using series ratio test i.e. an ≠ 0 and L = limn→∞an+1anL =…

Q: O Find the N-th partial sum SN = ), → n2-1 of the infinite series n² – 1' n=2 n=2 M8

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Q: Let an = 1+ ne¯n a) Does the sequence {an}n=0 converge or diverge? b) Does the series En=0 an…

A: Using ratio test:  limn→∞an+1an=limn→∞1+n+1e-n+11+ne-n                =limn→∞1n+1+1ne-n+11n+e-n…

Q: 00 3. The n-th partial sum S, of the series is k2 +5k + 6 Select one: 3. O a. 1- Ob. O c. 1-3 O d.…

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A: We have to find the smallest number n of terms needed to obtain an approximation of the series.

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A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 6. The nth partial sum of the series Σa is given by S n n n=1 Write a rule for a or the actual nth…

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Q: The three series Σ An, Σ Bn, and Σ Cn have terms 1 1 1 An B₁ = Cn n 10⁹ n³ n Use the Limit…

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Q: 1 4 Find the explicit formula for sequences of the form a1, a2, a3.. with the initial terms =,- 9 16…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…