a. Evaluate (-1)' if n is i=1 even. b. Evaluate (-1)' if n is odd. i= 1

Q: what is the general rule to evaluate i^N, where N is any positive number?

A: To find: The general formula to find the value of iN for any positive integer N.

Q: Which of the following is false? O ("2) = 2(") k ㅇ ") %3 (4") + (F) k n(n+1) (":"): 2 2 O ()² = (?)…

A: We have to check whether given statement is true or false.

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Q: 8n and IfΣ (ακ+ be) - n+1 k-1 2(ak - E(ak - br) = - n, then ak = n+2 k-1 k-1 3 O 2 9. m/2 2. wwwwww

A: simplify the equation by adding them and tends to limit to infinity.

Q: B. Find e in the whole number. 1. N = 5,000 2. N = 20,000 3. N = 12,000 and n = 200 and n = 3,000 e…

A: B. Here we have to find e in whole number. Formula to calculate e is as,…

Q: 18-It is known tha a) O 2 b) O 4 c) O 32 d) O 16 e) 8

A: Given data, Mean is 8 Coefficient of variation CV=0.5 Variance=?

Q: 3- The number 20.004 is of; a) O three significant figures b) 0 five significant figures )0 two…

A: We can find the significant figures as below

Q: IfΣ ( a+ bk) 4n_ and n+1 k-1 E(ar – br) +, then Ear n n+2 k=1 k-1 2 O None 2 2

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Q: 40 28 60 427 O AA- O sss- O SAS- O Not Similar

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Q: n If E (ak + bk) 2n and n+1 k=1 E(ak – br) +, then ak = n n+2 k=1 k=1 3 2 5 2 O None 2

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Q: 544 1. 5349 Adam wrote 510413. 54 Nic wrote 45. Shane wrote 545. Who is correct? 2(3)-4 2. 5-2 Adam…

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Q: 42. 8T n=1 (n!)" nin

A: Consider the series ∑n=1∞(n!)nn4n   To Find: whether given sum exists or not i.e., given series…

Q: b. Write the set of natural numbers less than 23 needed) orete answ ers aS

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Q: Suppose you pick her at the Denver aurport up and her luggage is nA there nihct is the prodadilt…

A: let A : Event luggage is not in Denver B : Event first flight was delayed probability first flight…

Q: (-1)"-1 (In n)" 00 23. E n=2

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Q: -6 B) [ x In(x) 12

A: First I have used the property of logrithmic and made the integral easy and then by substitution…

Q: Σ 9n n = 1 Identify an-

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Q: b-a on and interval. Round to the nearest thous 3] 523

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Q: röve the following identity () - (":")- (:-) n n n | k k k 1

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Q: If n E N and n < 2000, how many numbers n have the property that the sum of the digits of n and the…

A: Here n  N and n&lt; 2000. So, n= 1,2,3,........,1999.

Q: 7.In how many minutes after 7 o' clock will the hands of the clock be directly opposite each other…

A: As per our guidelines,  we can not solve more than one question. Kindly repost the second question…

Q: 52 38 AA SAS O Not Similar

A: Using condition for similarity

Q: E, Ilmakes Ing (а) 0. (b) {1}. (с) 0. (а) {1,2}. (е) 1024 (f) 3002 _{1,2} _{1,2} {2" |n € N} {3п —…

A: We have to use simple logic to solve the given problem.

Q: 14. If n e Z, then 5n2 +3n + 7 is odd. (Try cases.)

A: By method of direct proof, prove the statement " If n∈ℤ, then 5n2+3n+7is odd"k∈ℤk∈ℤ as follows.

Q: ind p hat if x is 7 and n is 10

A: The provided information are: Number of success (x) = 7 Number of trials (n) = 10

Q: 2. Find the value of SSE if P = 4, n = 12, and MSE= 5.

A: Mean square error: The formula for the mean square error is, MSE = (SSE)/(n–k)

Q: 6. How many times will the clock strike in 24 hours if it strikes only at the hours once at 1, twice…

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Q: Which of the following is the smallest, positive value of n for which -i" is equal to -i? (1) n=1…

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Q: Let S = { 1 - (-¹)" | n € N}. Determine inf S and sup S. Justify. n

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Q: If thé numbér óf rst question:- nts is (100 students), (90 stude eded in statistics and (80 stude ed…

A: NOTE: As per the guidelines, we are supposed to solve the first thee sub parts only. 1).Given:Total…

Q: (-1)" In(nº) Σ 20. 4n n=2

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Q: 9 Find A and A by Hamilt on Hheoren For A=|° E12s -75 -IS

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Q: (b) {an}, where an 1 if n is odd and an = ; if n is even. |

A: Given that an where an=1n if n is odd and an=n2 if n is even.

Q: O None of these Oe equal to the above Vdows O is equal to the above O is equal to the above 434

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Q: if m is odd and n is odd, demonstrate that m*n=odd

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Q: -) = }20 otherwise UMVUE of (i) (ii)

A: Solution

Q: 3. Evaluate |(n + 1)! - (n + 2)!|, where n E N.

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Q: If y = ex, for any natural number n, what is dx" n"e* n"enx O Option 3 O Option 1 n!e* n! enx O…

A: We know that the chain rule: fgx'=f'gx·g'x Given: y=enx

Q: Vn EZ, if n+5 is odd then n is even

A: This question is related to integer values. We can prove it by using direct or indirect way. Please…

Q: If n E N and n< 2000, how many numbers n have the property that the sum of the digits of n and the…

A: Given that, If n∈ℕ and n&lt;2000 then calculate how many numbers n have the property that the sum of…

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: -In 3 e* In 2 V4 - e*

A: As per our guidelines we are supposed to answer only one question i.e. the first question. For the…

Q: $$0!$$ is equal to O $$10$$ O s$o$s $$1$$ O $$20$$

A: 0!=1

Q: S, =Ene пе n=1

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Q: B 5ex - In |x| + C

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