(b) (-1)"n (n+1)(n+2)

Q: b) (-1)"3n² 4n²–1 n=1

A: We will use root test.

Q: 8. Find the 3rd term of the general term an = n. a. 1 b. 2 С. 3 d. 4

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: -) = 4n/n – 4.

A: The relation between the length of the time in seconds and list of n items is given as , fn=4nn-4 It…

Q: (n!)²3" -(x)" Σ n = 1 (2n)!

A: Use ratio test for Radius of converges

Q: Determine the three arithmetic means between x+y and 4x-2y

A: We want to find the three arithmetic means between x+y and 4x—2y. Let a2,a3, and a4 be the three…

Q: (* - 1)" 16. 2n n=1

A: 16.∑n=1∞(x-1)n2n

Q: If N=6+4+3+1+1/3N, then the value of N is?

A:

Q: n? O Show that ¬-2n= 0(n²). Show your work and give specific

A:

Q: the statement below true or false for n=1? ©George Mason University 2+ 4 + 6+ ... + 2n = n² + n + 1

A:

Q: 2 n² + 2n Ε

A:

Q: A seismologist recorded a tremor of magnitude 7.0 on the Richter scale. The next day, he recorded an…

A: Solution: The magnitude of the earthquake can be calculated using the formula, M=log(IS) Where, M →…

Q: 8. 3n+1 .251-n n#1

A: We have to solve given problem:

Q: 2) S(n)-10-2 at n 5

A: Given ,  f(n) = 10 (2)n     ......... (1) We have to find the value at n = 5 Put ,  n = 5 in…

Q: At a bowling alley, the cost of shoe rental is $2.75 and the cost per game is $4.75. If f(n)…

A: Calculation of above requirement are as follows.

Q: (-1)" .32n-1 Σ 00 25n-1 n=1

A: ∑n=1∞ -1n·32n+125n-1 use the series ratio test limn→ ∞ an+1an=L If L<1, then ∑an converges If…

Q: (-5)2 n (b) En-1 n²,97n 00

A: Part b,

Q: 2n - 1 Σ n2 +n + 4 n=1

A:

Q: (b) 3|2" + (–1)"+1 for all n > 1.

A:

Q: *-

A: Given: 3x=π4+nπ

Q: 38. 32 (-1)k k=0 (2k + 1)³

A:

Q: Find the first 4 terms of n+3 n² +1

A:

Q: ised. (a) Ž 3n2+1 5n2+3 n=1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2"-1 for positive integers n. 2n

A:

Q: Sum (n=0, infinity) (-1)n 22n+1/(2n+1)!

A:

Q: b)+++ -1- for all n 1. ... 4 2"

A:

Q: >(6k – 4)(7k + 3) - k=1 Enter your answer as a number without any arithmetic symbols. Sum =

A:

Q: II (1-) п+1 (for n > 2). 2n i=2

A:

Q: (n² + 6n – 4)(2n – 4)

A: The polynomial is given by n2+6n-4(2n-4)

Q: -- ΣΧ E n² 22n n = 0 II

A: follow the next step

Q: 48) Σ- (-1)" n n n+1 (b) 2n=1 n2" 8.

A:

Q: п? +1 n- 2n2 +n – 1 n=2

A: Alternate series is convergent if  Terms of series are decreasing and limit of an as n ->…

Q: (-1)" + 2,3 an n3 + 4n2 + 6

A: we have to find limit

Q: 2) (n²-n-29) (n-6)

A: Please refer to the image below

Q: -- 6(- 2n – 10) + 4n = 5(n + 1)

A:

Q: 4 n=n? + 2n 1 4. Σ -(x-3)"

A:

Q: (-1)"–1 n2 2 1

A:

Q: (-9)" (2n)! n=0

A:

Q: 4. Use a combinatorial argument to show that () n 1 -2) n + 22 n 2 3 -

A: Given: nn-2=n3+12n2n-2n

Q: 2(-1)"-1 n²+4 n – 1 | n=1 n²+ 3

A:

Q: (-1)"+'(x + 2)" n2" n=1 8.

A: We have given a power series; The interval will be; So the interval is (-4,0)

Q: (c) Show that for 2" > 4n for n ≥ 5.

A:

Q: 2s2-s+4 s(s²+4) =4 + Bs+C s²+4

A:

Q: nP2 = 72 nPn-2 = 360 13P = 17 160

A:

Q: that you are using. Σ n=1 n/2+1 •a.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: How do you  calculate q1= -0.5(-0.5q1+65)+65

A: First we simply the given equation,  Then Let's take the term q1 left side and other constants on…

Q: 12. What is is (n=1)^9 [2n-6] Your answer

A: Given

Q: -6an-1 for n > 2 with the initial condition a = -9. an an

A: Given an = -6an-1

Q: 2n2 – 4n +1 is even → n is odd

A:

Q: ii. 1/ (n - n) 1.Σ (η -1) / (3 + 1) ii.

A: We have to check whether the series ∑1n-π and ∑n-1n3+1 converges or diverges using the limit…