FIND THE SMALLEST n So THAT I

Q: Find the sums given below. 1 (a) 2k* k=1

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Q: 6. Find the value for n for the regular heptagon.

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Q: Find the greatest natural number n such that n + 10 divides nº + 100.

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Q: Find the largest value of n such that: >(3k - 8) < 2021. k=1

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the largest value of n such that: > (6k – 8) < 3000 k=1

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Q: n = P₁P2···Ppk where the pi are distinct primes. Show that µ(d) = (−1)k µ|

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Q: Find the dimension for P4

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Q: a) Find the population after 7 years. (Round to the nearest integer as nee

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Q: Find a formula for the number of digits of 2n. &#160;

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Q: Find the smallest positive integer N that satisfies all of the following conditions: • N is a…

A: We have to find the smallest positive. N'that satisfies all of the following conditions: N is a…

Q: of the n robabilit

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Q: 5n. Determine for which n n-2 For nz 2, let on =

A: Here we have to determine the n for which |an|&lt;1 for all n≥2 where an=5nn2-2

Q: 4. Find the largest value of n such that 2"|16!.

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Q: . Verify the formula п(n + 1) 2 for n = 10, 50, and 100.

A: ∑x=1nx = n(n+1)2To verify the formula for n = 10, 50 and 100.

Q: If n = 17640 then find (n)

A: Given: The given value of n is 1640. To find: The Möbius Mu Function of a given number. That is to…

Q: an аn аррох ne •mation Composite Simpson-

A: Given, we have to integrate fx=2xe1/2x on 0,2. So, f'x=212xe1/2x+e1/2xf'x=x+2e1/2x…

Q: Show that for all integers n:  ceil(n) = -floor(-n)

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Q: Find formulas for the entries of M", where n is a positive integer. M"

A: First find the Eigen Value and Eigen vector

Q: Use iteration to guess an explicit formula for the = 2dr-1 + 3, for each integer k > 2 if d = 2…

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Q: Find the smallest integer n for which the property below hold 3n > 2967 n =

A: Given query is to find the value of n.

Q: Find the proportion of primes p in the interval from 10^12 and 10^12 + 1000 such that p-1 is B= 105…

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Q: Find the which value of n for where vin)' is the divisors ofn Smallest vin) =6 number of positive

A: The given problem is related to number theory. Here, we have to find the smallest value of n for…

Q: an n+3 Find the smallest number M such that:

A: Given: limn→∞n+3n+5

Q: Find the largest value of n such that: Σ E (9k – 5) < 3000 k=1 n =

A: We expand the sum and use the know formulas of "sum of first n integers"

Q: O Find mLABc 14° the Sum of the interi

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Q: Find the largest number 8 such that 1 if 0 < r – 0.9| < S then <1.6. 0.92 8 =

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Q: Develop a simple expression for the entries of A", where n is a positive integer and 1 A = -IN -IN

A: To get a simple expression for the entries of An, where n is a positive integer. A=112012

Q: Find the largest valuc of integer value ofk such that 1 (24 - 1) < 900. 5+7++

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Q: 39. Find the smallest number n with the following property: If n is divided by 3, the quotient is…

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Q: Find the minimal integer number that: Gives remainder 1 on division by 3 Gives remainder 2 on…

A: We have to use Chinese remainder theorem in this question.

Q: (i) (ii) Show that 8; &k = &k Әхк Әхі Əхі Әхі чо

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Q: Find the largest negative integer leaves a remainder 2 when divided by 3, 5, and 12. (If it is not…

A: Let us  solve the question in the next step.

Q: 6. Find the remainder when 721 divided by 43 7. For a given integer n, prove that 3 k-0

A: To find the remainder when 7221 divided by 43. Now, 7 and 43 are relatively prime and 43 is a prime…

Q: 2. A toy company sells 3-packs of sphere-shaped bouncy balls. If the company ships the three bouncy…

A: Finding the empty space in the given figure.

Q: 1. Prove that the sum of the consecutive cubes is given by this formula: n²(n+1) 4 13 + 23 + 33 +..+…

A: Given; 1) 13+23+33+...+n3=n2(n+1)2/4 Repost the next questions.

Q: 1 Σ n(In n)*

A: The given series is 1/[n(ln n)2] , n&gt;= 2

Q: (c) Show that for 2" > 4n for n ≥ 5.

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Q: 4. Find The Three cube Meots of 1

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Q: Find the smallest n such that d(n) = 30. Answer is 720

A: Given: d(n) = 30, that is, the number of factors of n is 30.We have to find the smallest n.

Q: 5. (a) Find a formula for the number of square tiles in the figures below. n= 1 n= 2 n= 3 n= 4

A: To find a formula to determine the number of square tiles in the given figures.

Q: S=cMN^2 for N^2

A: Solved below

Q: Find the sums given (a) 2k k31

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: How many combinations are possible with repeats for C(6,3) Use the paperclip button below to attac

A: In this question we have to find the combination with repetitions.

Q: There are 8 seats in the first row of a theater, 12 seats in the second row, and 16 seats in the…

A: Given ,  There are 8 seats in the first row of a theater , 12 seats in the second row , and 16 seats…

Q: Find the sum of the divisors of 120. Generalise the result for an arbitrary natural number M

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Q: (c) For each integer n, if n is odd, then 8 divides (n4 + 4n² + 11).

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Q: ove that n’ +5n is divisible by 6 for all n E N.

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Q: Find 3 values of n such that phi(n)= 120

A: According to the given information, it is required to determine the values of n such that:

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

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