3! 2(n+3) n r=0 (−1)¹ nCr r+ ³ Cr

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Q: ^n for all n>=6

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Q: Could you plz prove "upper reimn sum is always greater or to lower reimen sum"thanks

A: This question is related to reimann integration.

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Q: Does the sequences converges or diverges ? A) . (1-)") .«1 +(-1)"), ((-1)". (n+3 2n3 \n+1, n3+1

A: SOLUTION-

Q: (n+2)(n+3) Find the partial sum sN = En=1 (n+2)(n+3)· Find limy-»00 $N•

A: Given The partial sum to be determined is: Simplifying using partial fractions:

Q: Compute the sum 2* Sum(n=2 to 8) (1/2) n-7

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Q: a_{n}=\frac{(-3)^{n}}{n !}

A: Tn = (-3)n / n! Tn+1 = (-3)n+1 / (n+1)! Tn+1 / Tn = (-3) / (n + 1)

Q: graph the first several partial sums of A(x) A(x) = 1 + x^3/(6) + x^6/(180) + x^9/(12960) + …

A: The given series is: Ax=1+x36+x6180+x912960+⋯. We need to draw the graph of first several partial…

Q: \sum_{n=1}^{=} \frac{\sin 4 n}{4^{n}}

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Q: o prove that knVA=| Test the seuence (ConViordív) of (10) an = (^_-) ) an 15 ら 9n: 3ntl 3n-1 (の+ (7)…

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Q: \sum_{n=1}^{2} \frac{1}{\sqrt{n+4}}

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Q: What is meant by Riemann sum?

A: Definition of Riemann sum:

Q: What is the value of the sum n (*) n | 3"-k2k k k=0 6^n 9^n 5^n 1

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Q: 21) f(x)=47x A) (4 ln 7)47x Write summation notation for B) (7ln 4)47x x(In 2) C) (In 4) 47x x(In x)…

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Q: (ii) If $x_{i}$ follows Bernoulli $(p)$, show that $$ \frac{1}{n}…

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Q: Let 13 20 x 20+ y = 2 be the equation of a curve in the xy-plane. Find the equation y = T(x) of the…

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Q: How do you find the sum from k=1 to k=infinity of 2k/(k+7k) using the limit comparison test?

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Q: 2n+1 (2n-3 a.) = {(2²1 =3) "" } 116) (6.) = ( ³ + 05/(1+x)} 2n+5 11a) {a}={ O {c} = √√nº +3² +1 2n²…

A: Given: 11 a) an=2n-32n+52n+1, b) bn=3+cos3n+πn and c) cn=n6+3n2+12n2+3 To determine: Whether the…

Q: You have to state and prove mathematicaly" Upper Reimen sum is always greater or equal to lowerr…

A: Let f be a reimann integrable function on an interval I =[a,b] then we have to prove that upper…

Q: then A(-2u - 20) = -2 ---B 5 and Au 3 Au = 2 4

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Q: compute the partial sum when k=1 goes until infinity of ak. ak = 1/((k^2)+3k+2)

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Q: 1/(1-2) + 1/(2-3) + 1/(3 · 4)+.....+ 1/{n(n + 1)} (a) n(n+1) (b) n/(n+1) (c) 2n/(n + 1) (d) 3n/(n+1)

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Q: A sequence $\left\{a_{n}\right\}$ is given by $a_{1}-\sqrt{2}, a_{n+1}-\sqrt{2+a_{n}}$(a) By…

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Q: Prove 2^1/n infinity n=1 is convergent

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Q: use the formulas: i=   n(n+1)/2  and i^2=  n(n+1)(2n+1)/6  express the sum below as a function of n…

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