Find three consecutive integers whose sum is 33. O -10, - 9, - 8 О-11, — 10, —9 О 12, 13, 14 о 10, 11, 12 о 11, 12, 13

Q: Find n and sn  If a = 5 , d = 3 , an= 50

A: Given data: The first term of an A.P is a=5. The common difference is d=3. The number of term in A.P…

Q: what integer is closer to 6

A: given: the integer is six.

Q: Determine whether it is possible to express 1 as a liner combination of 1 = m· 44 + n· 91 ,. for…

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Q: Solve for n:   35,300 = 9,000(1 + 3.2/400)^4n

A: Solution

Q: Compute the following: (a) 4!, (b) (), (c) (₂), (d) (), (e) (7), (f) (2)-(2) where n is a…

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Q: Using the digits 2 through 9, find the number of different 5-digit numbers such that: a. Digits can…

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Q: "If a and b are positive integers, a divides b and b divides a, then a = b."

A: To Prove: '' If a and b are positive integers, a divides b and b divides a, then a = b''.

Q: nd a sixth integer between 1 and

A: a)  A player in the power ball lottery picks five different between 1 and 69  ways to choose first…

Q: If = (6,-5) and a = (-2,6), find |2c +3.5d|. O √146 O 16 O 2√73 O 5√11

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Q: Write the following (x: x-2, n is natural number less than 6) in roster form. (1, 2, 3, 4, 5}

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Q: If an = 7+ (-1)", list the first five terms of an, starting with n = 1: {a1, a2, a3, a4, a5}

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Q: 27. (xa is an odd number between and 9, inclusive}

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Q: If an = V5n – 5, list the first five terms of an, starting with n = 1: {a1, a2, a3, a4, a5}

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Q: determine the value of c(n,5) /p(n,5) where n can be any integer thats 5 or greater

A: Recall the following. Permutations Number of permutations of n things taken r at a time: pn,r=n!n-r!…

Q: How many multisets can we make using the integers 1 through n, if we require that no number appears…

A: It is given that the integers are from 1 through n, and no number appear more than 3 times.

Q: b. The location of 0.47 is between which two hash marks on the number line? and Which of these two…

A: The location of 0.47 is between two hash marks on the number lies 0.4 and 0.5. The 0.47 closet to…

Q: If i=(-1) then i^25= ...

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Q: If n is an integer and n 2 1, then the expression 4" + 4-1.3+42.3+ 4-.3+4".3++4 3+ 3 is equal to

A: (c) is correct We have to find the value of 4n+4n-1·3+4n-2·3+4n-3·3+4n-4·3+⋯+4·3+3

Q: If 2 = (6,-5) and a = (-2,6), find |2+3.5d |. O 5√11 O √146 O 16 2√73

A: topic- vectors

Q: Find the twenty-eighth positive multiple of 4 and the sum of the first twenty-eight positive…

A: To calculate the twenty-eighth positive multiple of 4 and the sum of the first twenty-eight positive…

Q: Find ST if S(-3,10) and T(-2,3).

A: Given,  S(-3,10)  and    T(-2,3)   We have to find ST.

Q: 1. Find two numbers whose sum is 17, given that is one more than 3 times the other. Ans. 4,13 2.…

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Q: Solve, if possible, for n where n is an integer in each of the following. b. n³ = a. 2 = -8 c. 2"-27…

A: Given:a. 2n=-8b. n3=-18c 2n.27=1024d  2n.27=16e 3+n2=32+n2f 5n=1257

Q: If A= then A-- 3 -3 Ob -8 3 3

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Q: Find all four-digit numbers abba with the property aa . 10b= abba if a is not equal to b.

A: We know if abcd is a four - digit number then, abcd = 1000a+100b+10c+d

Q: let a.b.c.d be for consecutive number show that (a.b.c.d)=1

A: Given that: let a.b.c.d be for consecutive number Show that (a.b.c.d)=1

Q: Any n consecutive integers will include a number that is divisible by n.

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Q: 10% of what number 27 is ​?

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Q: If a1 = , and an = an-1 + 2, list the next five terms of an, starting withn= {a2, a3, a4, a5, a6}

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Q: A plant grows 5 inches taller each day. During a period of 3 days, how many different values will…

A: Explanation of the answer is as follows

Q: What is the fifty-fifth term of 1, -1, 1, -1, . A) o в) 1 (c) -1 D infinity

A: Given that: 1, -1, 1, -1, ....

Q: Find the sum of all four-digit numbers that can be formed by the digits 1, 3, 5, 7, 9 without…

A: Answer: Option b)  666600

Q: How many different 2-digits numbers can be formed from the digits in the number 235? O A. 6 O B. 3 O…

A: We have to find no of digit...

Q: In how many minutes after 6 o'clock will the hands of the clock extend in opposite directions for…

A: Analog clock has minimum of two hands to show time, one is an hours hand and the other is a minutes…

Q: for how many n E {1,2,.......,660} is in a multiple of one or more of 9,2, and 5

A: Image is attached with detailed solution.

Q: Approximately, what is the value of (P) if A=780, n=29 years, and i= 29.5% per year?

A: Given A=780n=29yearsi=29.5%per year

Q: Which of the following is the sum of all four-digit numbers that can be formed by the digits 1, 3,…

A: The given digits are 1,3,5,7,9 We know sum of r digits number = n-1Pr-1 Sum of all n digits number…

Q: Find all integers that leaves the reminders 5,1, and 4 when divided by 8,5, and 9 respectively.

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Q: How many different five-digit numbers can be formed using only the digits of the number 75, 226,…

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Q: Find the sum of the integers from −20 to 256.

A: It is required to calculate the sum of integers from -20 to 256 that is:

Q: Where did the numbers 12 and 14 come from?

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Q: Which of the following is an integer ? O e 1 7 13

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Q: A sample of 4000 bacteria triples every 7 hours. How many bacteria are left after 10 hours. Round to…

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Q: Find the next two terms in (an)n20 beginning

A: Given,             3,  5, 11, 21, 43, 85, . . .

Q: Find ST if S(-3, 10) and T(-2,3).

A: Given  S=-3,10              T=-2,3   To find ST,   Let S=x1,y1 and T=x2,y2   we know, if…

Q: 3 times an integer squared plus 6 times that same integer is equal to 105. Find one possible…

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Q: If an = (-10)", list the first five terms of an, starting with n = 1: %3D {a1, a2, a3, a4, a5}

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Q: Which is the solution set of : 27" = 81" %3D O {0,-} O {-5,1} O { {,2} {0, } O 0 0 O

A: We have to find the solution set for the equation: 27n2=81n We have 27=3×3×3=33 and, 81=3×3×3×3=34…