(-1)n+13n (b) n5n n=1

Q: b) (-1)"3n² 4n²–1 n=1

A: We will use root test.

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: 5) n-10n +9 b2 +16b+ 64 7) m+2m-24 8) x-4x+24

A:

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

A: 16.∑n=1∞(x-1)n2n

Q: -5   | -2] [1   −8  | −3]−−−−−4R2+R1 →   [  ___ ___ ___  ___  ____  ___ ]?

A: Given query is to perform 4 R2 + R1

Q: For n-1.2.3 the expression 4n+2 is a multiple of

A:

Q: 51 -1 4l* 3 Q2) If A = |, and B =Ľ show that -2 (A + B)² # A² + B² + 2AB

A: Given: A=12-21 and B=35-14Then A+B=12-21+35-14=47-35(A+B)2=A+B×A+B=47-35×47-35=-563-274

Q: %3D n+1 3 -2 -3

A:

Q: 4" (x-3)" /n (b) (-1)" n=1

A: INTRODUCTION: The radius of convergence is half the length of the convergence interval. If the…

Q: 1. What is the simplified form of (-3x°y²)(5xy¯)? –15x³ y2 ® -15x³y? © -15xty O 15xªy B 1 4 9m2,5 1…

A: Factorization is simplifying the algebraic expression by extracting a common factor. the factor is…

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: 2n - 1 Σ n2 +n + 4 n=1

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Q: R(n) : hn 2 2n-2

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Q: p Pq C N-n N-1

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Q: (n-2n-25n2 -80n+65)+(n-7)

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Q: 38. 32 (-1)k k=0 (2k + 1)³

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Q: 2n n%3D1 712

A: we have to test whether the given series is convergent or divergent

Q: 2n-20n²

A:

Q: 2 a/2 n= 2E?

A: Given, Margin of error (E) = 0.02 Confidence interval = 99% = 0.99

Q: n² -1) 2n³ + 1

A: ∑n=1∞ -1nn22n3+1 use the alternating series test an=n22n3+1 an is positive and monotone decreasing…

Q: 2n B. ) 2 (1+n2)3

A: Given: ∑n=1∞2n(1+n2)3

Q: 00 (x - 3)" n n105n n=1

A: x=8

Q: Compose. g(n) = -2n +1 h (n) = 2n – 3 Find (goh) (n). 4n - 1 B-4n + 7 An 3n 16 A,

A:

Q: (k) Yk+1+Yk = (-1)*,

A: We have to do proper summation here.

Q: Vn 15) Σ-. (n+ 1)n

A:

Q: (n² + 6n – 4)(2n – 4)

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

Q: n + n² 2.

A:

Q: an = 2an-1 + 8a,-2 + 81n for n > 2 with initial conditions ao = :-23, aj = -59. An =

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Q: -- ΣΧ E n² 22n n = 0 II

A: follow the next step

Q: 5n³ -n + 2) - (n³ - 6n? - 9)

A: The standard form of a polynomial can be written using the formula. First we simply the given…

Q: Simplify : (n − 5n4 +7) +(n2− 7n4− n)

A: Given expression

Q: Mark’s age twenty years ago if she will be N years old at 10 years from now? a. 20 - N b. 30 - N c.…

A: We want to find Mark's age twenty year ago.

Q: E(-1)*() 4h n=0

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Q: 4 n=n? + 2n 1 4. Σ -(x-3)"

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Q: (-1)"–1 n2 2 1

A:

Q: Find the value of n. 1. 4n+3 2n - 16 2.

A:

Q: | grk(1 – 2)n=k/(") z*(1 – 2)n-k | 2*(1 – : 1/2 1 2n/2 how did we get step 3 from step 2 ? explain…

A: First consider the second term of step 2 , which is ∑k=0nnkxk1-xn-k12 This term is in the form of…

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

A:

Q: Q3.) The value of the product P = IIK-2 (1+) is B.)n + 교 %3D2 k2- A.) n (1 +) C.) D.) 2 (1+) E.) 2n…

A: we are allow to solve one question at a time if you  need rest of answere please upload separately

Q: Tlllscoping scrices Ź n2+3n +2

A: Given that: ∑n=0∞1n2+3n+2

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: a)(6n2– 3n + 9) - (n² + 3n – 5) b) (15a – 3w + 7) – 2(2a – 9) + (3w – 15a)

A: a) Given:         6n2-3n+9-n2+3n-5       =6n2-3n+9-n2-3n+5 combine like terms…

Q: (ii)""+2n-1 n' +3

A: We have to test the series is convergent or divergent

Q: -2 4 II. ama- Given A = 1 2 find A-1 2 1

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Q: 59. Σεη -2n n=0

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Q: Σ !k² + 1 k=

A:

Q: 5) In the diagram below of AABC, AB = AC, mZA = 3x, and mZB = x + 20. A (3x)° ++20)° What is the…

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Q: Use long division of po

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Q: n² +1 Q# b 5n + 2n n=1 2 5

A: