Determine which series diverge. Circle all that apply. 5" (-1)" В) 00 Σ Σ (-1)" Σ A) n=0 2"+1 C) n=1 4h п30 (п +1)! 00 1 D) Σ n=1 n~ +n 2 E) None of these

Q: A sequence is said to be decreasing sequence if Vn > 1 'n+1°n =S .a .b O n+1 2n.cO n+1 n+1d0 n

A: Option (d) is correct.

Q: Which of the following are geometric series? 2" 29" n=0 2(2n)" n=0 2 n5 n=0 n² 3" n=0 WI ¿W! :W? 8WI

A:

Q: Rules of Summation A. Expand the following summation by writing without summation sign 1. Σ=1X 2.…

A:

Q: Which of the following are geometric series? 3" n=0

A: A)∑n=0∞ n53n=0+13+2532+3533+....(No common ratio found)B)∑n=0∞ 5n5=50+51+525+535+....(No common…

Q: 4. Ifx, = 60 and x = 90, find each of the following: %3D a. (x, - 7) b. Σx-7 C. (x, + 2) d. Ex # 60…

A: Since you have asked multiple questions we answer only question number 4.

Q: Using a binomial approach, find the sum S given by n+1 S="C₁ + "+¹C₁ + "+2² C₂+...+ "*C,

A: Here we can use the following formula to find the sum nCr+nCr+1=n+1Cr+1and nC0=1

Q: Find the first three terms of the expansion (4 – 2x)°. 4°(1 – * + + .) 플 + 5x2 + .…) 2 а. b. 25(1 +…

A:

Q: Which of the sums below is equivalent to 4sin (36)cos (5ß)? Select the correct answer below: O 4cos…

A: 2 cos(A) sin(B) = sin(A+B) - sin(A-B)

Q: cn? Let c be a nonzero real number and an Which one of the following statements is correct? 24n2 –…

A: First option is correct

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

A:

Q: A sequence is said to be decreasing sequence if Vn >1 2n.a O n+1 'n²³n+1·bO n+ n+1dO n+ 1

A: Given a statement

Q: n? - n 5" n=1

A:

Q: Find the sum, if it exists. CO Σ5(0.4)k - 1 k=1 ME 00 Σ 5(0.4)k-1 = (Round to the nearest k=1…

A:

Q: When creating a Riemann sum, what is the width of an approximating rectangle on [-24.1, 156.7], if…

A: When creating a Riemann sum, what is the width of an approximating rectangle on [-24.1,156.7], if we…

Q: Find the sum of the series: 3 k2 k 4 a) 02 2 b) O 3 c) O1 3. d) O e) 03

A: ∑k=4∞ 3k2-k=3·∑k=4∞ 1k2-k=3·∑k=4∞ 1kk-1=3·∑k=4∞ 1k-1-1k

Q: Classworc B Auguer Alge baic Exicesions 6. ALGEBRAIC EXPRESSIONS Name: Date: 7 1. Simplify 2x – 9y…

A:

Q: -What are all values of x for which the series

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Q: tind the exect o the series Sum ncnt2)

A:

Q: Q.12) Suppose the summation xi = 81, summation xi2 = 509, n=20, and yi = (xi - 5)2, a.) find…

A: Given that Suppose the summation xi = 81, summation xi2 = 509, n=20, and yi = (xi - 5)2, Than we…

Q: QA7. Considering the expansion of (V2+", n>= 4, if the ratio of the 5th term from the beginning to…

A:

Q: Which of the following formula is the general term of the sequence a. (n+1)* O b. (–1)"+1, (n+1)*…

A: The solution is given below

Q: Consider the sequence S2 4 6 8 10 12 4'8' 16' 32 .... Write this sequence in the form {an} =1

A:

Q: H.w By wwing partiel fraction find

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

Q: The fifth term in the expansion of the binomial (a +b)" is given by 10 p° (29)". Write down the…

A:

Q: 2. Find the Maclaurik a. f(x) = 2. la f ....

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Q: 7 > 2i-1 2. 10 8/-1 3. 5 S2(10)/ i=0 N :WE

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: 5 k3 d. + 2225 k k=1 k=1 п е. + 2n \n k=1 3.

A: We have to find summation of given series.

Q: :The nth term formula for { 1,0,1,0,... } is

A: given sequence 1, 0, 1, 0, .........

Q: 20 2. С1 1 7 6. s+3 5s-3 6s – 5 3. С1 4s² +7 3s - 2 4. 6! s* +8s+25

A:

Q: Which of the following is the sum of the series 00 3 3 (n+1)2 n-1 Select one: O A. 3/4 O B. 1/3 O…

A: Given series, ∑n=1∞3n2-3n+12

Q: The sum of the infinite geometric seres 7n+1 is: n=1 10 OA. 10 3 Ов. 49 В. Oc 10 7 D. 49 10 E. 7 10

A: using the formula of sum of the infinite geometric series....

Q: 65. Find the sum of the series. 3n2 + 3n + 1 00 65. E (n² + n)³ n=1

A: Here we will first try to expand the series and then see whether the series is falling down into any…

Q: Which of the following represents the general term of the sequence 2 1 3 5 6 12 20 30 42 56 7 9 ? 11…

A:

Q: More Summation: Pick 2 of the four, One must be 1 or 2 and the second must be 3 1. 3k +2 4 20-2n 3.…

A: (1) ∑k=28(3k+2)=3×2+2+3×3+2+3×4+2......3×8+2                         =(8+11+14+17+20+23+26)=119…