How to prove that n peices of information in Sumation of i=1 to n (xi-xbar) = zero. also known as not independant. I know that xbar= (sumation i=1 to n xi )/ n.

Q: Use Mathematical induction to show that H sub(2^n) is less than or equal to 1 + n.

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Q: prove : 1+1/(3)2+1/(5)2+1/(7)2+...=(pie)2/8

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Q: nt6 (-1) h

A: Given  simplfy

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Q: 1³ + 2³ + 3³+. .. +n³ = © (n*). O True O False

A: Solution The LHS of the given series denote the sum of the cube of first n natural numbers.

Q: prove the following identities k(nk) = (n-1k-1) (n0)+(n1)+(n2)+ .... ..... +(n n-1) + (nn) = 2^n…

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Q: n>=0

A: According to the question,    False. This statement is not true for all integers n >= 0. A…

Q: ② 2 X+S 1+ 2 + 기 1 -11-1> 1

A: NOTE: Refresh your page if you can't see any equations. . use the fraction rule (cross…

Q: SuPpose that15,000 is invested in a savings account that earns i) Find an expression for the amaunt…

A: $15,000 is invested in a savings account that earns 4% interest, compounded quartely.

Q: Prove that for all divides natural numbers nt 7^-2^.

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Q: bers {1, 3, 6, …}

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Q: Prove the following equation for n^2 >5n+2 for every integer n>=100 by mathematical induction

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Q: The Summation means that we take 2 the sum of 1²+3 as i goes from 6 to 8 { li i=6 (143) =…

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Q: Show that 2n+1≤2^n  for all n≥3.

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Q: How many zeroes are at the end of 1000!/(500!500!)?

A: Calculate number of zeroes in 1000! and then subtract it from the number of zeroes in (500!500!).

Q: Prove that 3! 2(n+3) = n r=0 (-1) n "Cr r+3 Cr

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Q: (4) For all natural numbers n, 4^n - 1 is a multiple of 3

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A: The given problem is to prove by using the contradiction of Theorem of the given statement. Given…

Q: 10. By Binomial Theorem (2a – b)* =16a* – 32a’b+24a*b? – 8ab³ +b* | a. TRUE. b. FALSE.

A: We know the binomial therom expansion

Q: why/where/how does the 1 and the 0 about from at the end of the last few steps?

A: By Leibniz rule for differentiation under integration sign is given by, Here we need to…

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