H = {n| nEN and 237

Q: n(n+1)(2n+1) 2.Prove k2 = for n > 1. 6. k=1

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Q: 5. Give a general form for T(n) for n > 2

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Q: (-1)" n+1 nEN. E = %3D n

A:

Q: %3D k (n+1) (k-10 (n+1) k +1 (*) n+1)

A: The correct option is the last option. The detailed solution is as follows below:

Q: For positive integers m > n , show that -2 + n- 1 -3 + ...+ n + n-1 n - 1 + in

A: The right-side of the given equation can be expressed as…

Q: The wholesale price p of e-tablet writing styluses in dollars is related to the supply x in…

A: 400p2-x2=1599 here given quantity is x=1000 units = 1 thousand 400p2-12=1599 400p2-1=1599…

Q: A vial of radioactive material is found at a site where it was left unattended. At the time the vial…

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Q: Algebraicully (Mid-April) Mid-April- X85 solve the eqpuation to find temp in 1.

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Q: 3 for all n.

A: We have to find the following conditions according to the given information

Q: why

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Q: How many integers n where 1≤n≤1600 satisfy the condition ⌊n⌋\n.

A: Here, need n such that n/⌊n⌋ where 1≤n≤1600 and n is integer. Now, ⌊n⌋ is said to be floor function…

Q: lim еxp is n exp 1. (e-e) 2. (e -). 3. (e* - e2). 4. None of the above O 1 O 2 O 4 3.

A:

Q: Q28- The value of e-(In+1 )n is a) (-1)" e--1 b) (-1)"e" c) (-1)" e-+1 d) (-1)" e-"

A: We have to find value of  e-(in+1)π

Q: 3 < 2. Solve for x in 2 – x

A:

Q: for all integers n >1 E, i = n(n+1} %3D 2

A: To prove the sum of n natural numbers n≥1 is  ∑i=1ni=n(n+1)2

Q: Sam and Michael are running a race. They start at the same time, and the race between these…

A: Sam and Michael are running a race. They start at the same time, and the race between these…

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

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Q: Find all the odd positive integers n which satisfy 6(n) = 20.

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

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

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Q: How did they got n(n+1)(2n+1) / 6

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Q: Find the number of solution of e1 + e2 + e3+e4 = 15, where e1, e2,  e3 and e4 are non- negative…

A: given e1+e2+e3+e4=15 3≤e1≤5 4≤e2≤6 3≤e3≤7 3≤e4≤5the number of solutions with the indicated…

Q: use gauss's trick to determine R(n)=2+3+4+...+(n-1)+n+(n+1)

A: It is known that sum of first n numbers is n(n+1)2  that is  1+2+3+----+n=n(n+1)2 Gauss trick method…

Q: 3 divides n^3 + 2n, whenever n is a positive integer. Solve using mathematical induction

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Q: is equal to. k=1 n2 The sum O n+1 2n O n+1 O n? +1 2n2

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Q: 4. You are given: 7800-70t- 1? P30 0SIS TO 7800 Find qso-Hs0-

A: The given formula for tp30 represents the probability of an individual aged 30 years to survive the…

Q: HW Solve the fallowing first order 0E. -3= \-3+メー

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Q: Tes n=1

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Q: how many positive integers n satisfy 22-5n>-3?

A: 22-5n&gt;-3

Q: Q2) n(x) = x-1 , k(x) = (x – 1)/2, mx) = (x + 8)¯1 (x + 8)-1 Find a formula for ( m onok).

A: See answer below.

Q: e2a – 6e" – 27 = 0 - -

A: e2x - 6ex -27 = 0 here lets assume ex = y y2 -6y -27 = 0 y2 -9y +3y -27 = 0 y(y-9) +3(y-9) = 0 y+3 =…

Q: d. The first five terms of 2n -1 are....and. (Simplify your answers. Use ascending​ order.)

A:

Q: 4. Theoretically, what is the highest possible value for the slugging average? Could a player ever…

A: Given, the baseball example.     We have to find the highest value for slugging average?

Q: (-1)*- is approximated by the sum of its first 300 terms, the error is Зп — 1

A:

Q: The number N of deer in a certain population t years after observation began is given by  N =…

A: Given: The number N of deer in a certain population t years is To find: The deer population after…

Q: 2+4+... +n lim 7n2 + yn

A: limn→∞2+4+....+n7n2+n

Q: Find the possible values of n. (n2 )" – 2n" + 1 = 0 (n +0,1)

A: We have  n2n-2nn+1=0 and n≠0,1 We can write n2n as n2n=n2n=nn2 So, nn2-2nn+1=0 Let nn=x x2-2x+1=0

Q: Find the seventh term of the 10 expansion ( x+ y)º

A: We know that (x+y)n = ∑r=0nCrn xn-r yr Hence (x+y)10 = ∑r=010Cr10 x10-r yr

Q: Solve the recursion by substitution for  T(n)=2T(n/4)+n2 where T(1) =1

A: To solve by putting T(1)=1

Q: 3n – 5n is n→ o n° - 2n² +1 lim 3

A: It is given that, limn→∞3n3-5nn3-2n2+1.We have to evaluate it.

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

A: Given an = -6an-1

Q: =E512( 6, (-1)º-k(x)18–6k 18-6k k=0

A: To simplify: Rewrite given expression in simplified form:

Q: 2n2 – 4n +1 is even → n is odd

A:

Q: Which of the following statements are true (as n gets large or n → 0)?

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Q: Find the coefficient of x2 in the expansion of (x – 1)37. -

A: Answer

Q: what are the first six terms of f(n)= (2n)/(n+2) ?

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.