Algebra Simplify (3n)^2 (3n)2 ( 3 n) 2 Apply the product rule to 3n 3 n 32n2 3 2 n 2 Raise 3 3 to the power of 2 2 9n2 9 n 21 Show that (n^3 3n^2 3n 1) / (n 1) is O(n^2) Use the definition and proof of bigO notation 2 Prove using the definition of Omega notation that either (8^n) is (omega) (5^n) or not Question 1 Show that (n^3 3n^2 3n 1) / (n 1) is O(n^2) Use the definition and proof of bigO notation 2M3n3m(m2n2)n(mn)2 Final result m • (2m 3n) • (m n) Step by step solution Step 1 Equation at the end of step 1 (((m3)(n3))(m•((m2)(n2))))n

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Prove that (n-1)^2+n^2+(n+1)^2=3n^2+2
Prove that (n-1)^2+n^2+(n+1)^2=3n^2+2-Write an inequality that describes the situation Place the correct answer in the blank 1) Determine the limit by substitution lim x2 3x 4 A 6 B 2 C 2 D undefined Find the slope of the line passing through the given points (5, 14) and (1, 2) A) 3 B 3 D 4 E 9I don't get how the answer is #1/12#




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We have proved the contrapositive, so the original statement is true Note that if n is of the form 2^k, then n's prime factorization is only composed of 2's Thus, the contrapositive of the original statement is as follows n = b* (2^k), where b is a positive odd number ==> 2^n 1 is composite Let n = b* (2^k)If Number N 2, 4n 1 and 5n 2 Are in AP Find the Value of N and Its Next Two TermsWhat is N Redundancy?
First off (n^2 n 1)/ (3n^2 1) = 1 ( 2n^2 n 2/ 3n^2 1 ) = 1 r (subn) The question tells me to show that r (subn) approaches 2/3 Hence we need to find the remainder r (subn) I tried finding the remainder by doing this Find an expression which is greater than (2n^2 n 1)In a G P the ratio of the sum of the first eleven terms to the sum of last eleven terms is 8 1 and the ratio of the sum of all terms without the first nine to the sum of all the terms without the last nine is 2Then the number of terms of the G P isThe equation is now solved n^ {2}3n1=y^ {2} Swap sides so that all variable terms are on the left hand side n^ {2}3n=y^ {2}1 Subtract 1 from both sides n^ {2}3n\left (\frac {3} {2}\right)^ {2}=y^ {2}1\left (\frac {3} {2}\right)^ {2} Divide 3, the coefficient of the x term, by 2 to get \frac {3} {2}
Why create a profile on Shaalaacom?If the sum of the first ten terms of the series ( 1 3 5) 2 ( 2 2 5) 2 ( 3 1 5) 2 4 2 ( 4 4 5) 2 , is 16 5 m, then m is equal to 7 Let p = lim x → 0 ( 1 tan 2 8 For x ϵ R, f ( x) = log 9 For x ∈ R, x ≠ 0, x ≠ 1, let f 0 ( x) = 1 1 − x and f n 1 ( x) = f 0 ( f n ( x)), n = 0, 1, 2, O(2^(n1)) is the same as O(2 * 2^n), and you can always pull out constant factors, so it is the same as O(2^n) However, constant factors are the only thing you can pull out 2^(2n) can be expressed as (2^n)(2^n), and 2^n isn't a constant So,




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Ex 4 1 16 Prove 1 1 4 1 4 7 1 3n 2 3n 1 N 3n 1
which expression represent the product of 2 consecutive odd integers where n is an odd integer? n^23n2 We can rewrite the numerator as ((n2) * (n21) * (n22)!)/((n)!) =((n2) * (n1) * (n)!)/((n)!) We can cancel (n)! You have done everything absolutely correctly, but was not able to find a sum You got n n/2 n/4 , which is equal to n * (1 1/2 1/4 ) You got a sum of geometric series, which is equal to 2Therefore your sum is 2nSo the complexity is O(n) PS this is not called telescoping Telescoping in math is when the subsequent terms cancel each other




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N, N1, N2, 2N, 2N1, 2N2, 3N/2 Redundancy can be broken down into several different levels A quick recap of redundancy levels includes key terminology such as N, N1, N2, 2N, 2N1, 2N2, 3N Get an answer for '`1 4 7 10 (3n 2) = n/2 (3n 1)` Use mathematical induction to prove the formula for every positive integer n' 2^3n – 1 is divisible by 7, for all natural numbers n asked in Mathematics by AsutoshSahni ( 526k points) principle of mathematical induction



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数列求和 求数列 10(3n1) / (3n1)(3n1)(3n2) 从1加到n项的和 1年前 2个回答 如果对于不小于8的自然数n,当3n1是一个完全平方数是,n1都能表示成个k完全平方数的和,那么k等于多少?N is simply the amount required for operation It represents the capacity that you need to operate1 Inform you about time table of exam 2 Inform you about new question papers 3 New video tutorials information




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Solution for 5n^2n3=3n^23 equation 5n^2n3=3n^23 We move all terms to the left 5n^2n3(3n^23)=0 We add all the numbers together, and all the variables 5n^21n(3n^23)3=0 We get rid of parentheses 5n^23n^21n33=0 We add all the numbers together, and all the variables 2n^21n=0 a = 2; Ex 41, 5 Prove the following by using the principle of mathematical induction for all n N 13 232 333 n3n = ((2 1) 3^( 1) 3 )/4 Let P(n) 13 2Step 1 Equation at the end of step 1 (((n 3) 3n 2) 3n) 1 Step 2 Checking for a perfect cube 21 n 33n 2 3n1 is not a perfect cube Trying to factor by pulling out 22 Factoring n 33n 2 3n1 Thoughtfully split the expression at hand into groups, each group having two terms




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