For all integers n, if 6 | n, then 9 | ((n^2) + 21n/2)

Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

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Q: in an arithmetic progession the 17th term is 3 times the 6th term. if the 11th term is 63, what is…

A: nth term of the arithmetic progression is an=a+(n-1)d where a is the first term and d is the common…

Q: For: 25, 23, 21, 19, 17, .. Find RECURSIVELY An

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Q: Suppose that nine times a number is added to 63 and the result is positive. What are the possible…

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Q: Write the first four elements of the sequence. n+1 3n- -1, 1, 콩, 글 1, 금, 글, 유 5. 2 0, 글, 글, 콩

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Q: If 17th term of an AP exceeds its 10th term by 7 , Find the common differenc

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Q: The sequence of positive whole number is given such that a1 1. If a7=120 find as

A: Given series is called Fibonacci series, where sum of next term is sum of earlier two terms.

Q: Find the Sum to infinity of the sea tès - Ce30 t ces 20 - 1-3 1-3.5 ces 30 + - (-nCBCIT). 2.4 2.4-6

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Q: Find the sum of the first 21 positive integers. The sum of the first 21 positive integers is

A: We will use the concepts of A.P.

Q: The 24th term of an AP is twice its 10th term .Show that its 72th term is 4 times its 15th term

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Q: Find the sum of first 20 terms of an AP in which 3rd term is 7 and 7th term two more than thrice of…

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Q: Find a counterexample to the statement. The product of any integer and itself is even. Answer How to…

A: Given:         The product of any integer and itself is even.   Let us take an integer =2 When we…

Q: here are ten runners in each rely-race team. The first team member runs 425 meters.Each team runs…

A: there are ten runners in each rely-race team. The first team member runs 425 meters.Each team runs…

Q: sequence

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Q: A point on a number line is at least 13.4 units from the point with coordinate 2. What are all the…

A: Definition used -             Distance between a point x on the number line from a given point a on…

Q: Here is a rule to make a list of numbers: Each number is 4 less than 3 times the previous number. 1.…

A: Here is a rule to a  list  of numbers  Each  number  is  4 less than  3 timesthe    previous number.…

Q: is it possible if you can answer all

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Q: Determine the formula and (largest) domain for the following expression and then prove it using…

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Q: Suppose I choose two numbers from the set {1, 2, 3,... 100}. How many have an even sum? Show all…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: A theater hall has n rows of seats. The first row has 25 seats, the second row has 33 seats, and the…

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Q: witness to a hit-and-run accident told the police that the license number contained the letters RQLH…

A: Answer:72 Explanation: First digit=2 No.of digits=10 ie, (0,1,2,3,4,5,6,7,8,9) Now possibilities…

Q: Express the interval shown on the number line in interval notation. -12 -10 -8 -6 -4 -2 0 2 4 6 8 10…

A: In this question we have to define the interval shown on the number line in interval notation.

Q: Find 3 consecutive odd integers such that 3 times the third is 46 more than the firs

A: To find 3 consecutive odd integers such that 3 times the third is 46 more than the first.

Q: Find the next four terms in the sequence 1/16, 1/8, 1/2, 1, _, _, _, _

A: Given a sequence : 116,18,14,12,1,... (this should be the correct sequence). We need to find next 4…

Q: What two nonnegative real numbers with a sum of 34 have the largest possible product?

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Q: Saturday. What day will it be in 64 days from now?

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Q: Find the sum of positive divisor of 5,020 and also find the pair of this number so that they can be…

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Q: Suppose that the sequence {ax} is =0 2, 4, 6, 8, 10, 12, 14, 16, .. What is a1?

A: The given sequence {ak}k=0∞ is -  {ak}k=0∞ = 2,4,6,8,10,12,14,16,18,......... The first tern of the…

Q: A hot air balloon descends at a rate of 4ft per minute for 6 minutes, then rises at a rate of 2ft…

A: Given Data: The descending rate of the balloon is: D'=-4 ft per minute The time till the balloon…

Q: Find the sum of the even integers between 35 and 49. The sum is ...

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Q: What is the 100th term of a sequence of number in which, for every positive integer x, the sum of…

A: In the given question, concept of summation series is used. Summation Series The total of the series…

Q: If the sum of a certain number of terms starting from first term of an AP is 25,22,19,,,....,,is 116…

A: A.P is of the form 25,22,19, ... Here first term =a = 25 Common Difference = d = 22-25 = -3 Sum of n…

Q: Prove: “The sum of two even integers is even.”

A: To prove: The sum of two even integers is even. n is an even number if it can be expressed as n =…

Q: Arrange the integers 1,2,3, . . . ,23 so that the sum of consecutive numbers is equal to a perfect…

A: Given,  We have to   Arrange the integers 1,2,3, . . . ,23 so that the sum of consecutive numbers is…

Q: Find the sum of the first 12 terms without adding them all up. Explain your reasoning and show your…

A: follow next step

Q: Find the sum of first 24 terms of the list of numbers whose nth term is a. 3+2n

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Q: John found the sum of the first 2021 positive even integers and Bob found the sum of the first 2022…

A: In this question, tne concept of sum of first positive even integers is applied.

Q: Write a recursive formula for the sequence: (8, - 16, 32, – 64, 128, ...} f, an =|1 8-(-2)"-

A: Given that: 8, -16, 32, -64, 128, ....

Q: It is possible to rewrite the expression 2 In(x) – In(ax) as In(kx) where k is a constant. Perform…

A: The given expression is: 2 ln(x)-ln(ax)

Q: Use a direct proof to show that the product of two odd numbers is odd.

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Q: For number 51, can you show why -1/2  and 1/2 diverge and are not included.?

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Q: Find five consecutive odd integers such that when the fifth is subtracted from eigt times the…

A: We're going to solve

Q: How can we justify zero being the smallest even number and not 2? What number or rule can be applied…

A: The objective is to  justify zero being the smallest even number and not 2 and  what number or rule…

Q: Find the first 5 terms in the sequence. 3.) x + 9 -8,-7,-6,-5,0 A.) י5n1 -7,-2,3,

A: First five terms of sequence

Q: Is the number 0.5 above the interval (0.25,0.63)?

A: Is the number 0.5 above the interval (0.25,0.63)?   Answer : 0.5 is in between the given interval.

Q: Our author Strogatz shows us something surprising about sums of consecutive counting numbers…

A: The sum of the first n consecutive integers starting from 1.

Q: Find the sum of first 24 terms of the list of numbers whose nth term is a = 3 + 2n

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Q: Abby notices that for the first twenty perfect squares, each square is either a multiple of 5, one…

A: If n is a natural number, then n2 can be written as 5k- 1,5k, or 5k +1, where k is a whole number.…

Q: Find the sum of the first 19 odd positive integers. Need Help? Read It

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