Is the geometric mean of the first 100 natural numbers greater, equal or less than 50? Show your solution

Q: Use inductive reasoning to guess the next two numbers in the sequence:1, 2, 6, 15, 31, 56, . . .

A: Given sequence, 1, 2, 6, 15, 31, 56, ...

Q: .What is the sum of all odd numbers between 1 to 50?

A: 10. The odd numbers between 0 to 50 are 1, 3, 5, 7, …., 49. Here, First term a=1, last term l=49.…

Q: Use inductive reasoning to predict the next two numbers in each sequence.

A: Given: S1=15,30,45,60......, S2=100,-10,1,-110 We know that given first sequence is a arithmetic…

Q: On a game show, a secret 4-digit number is formed using the digits 1, 2, 3 and 4, with repetition…

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Q: what property of arithmetic tells us that if 5*-3=-15, then -3*5=-15?

A: We need to identify the property according to which we can write as  5×-3 =-15 then, -3×5 =-15

Q: . The weighted geometric mean of the four numbers 8, 25, 17 and 30 is 15.3. If the weignts of the…

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Q: Show complete solution A) How many four-digit numbers can be formed from the digit 0, 1, 2, 3, 4,5,…

A: Given: Available digits are:  0, 1, 2, 3, 4,5, 6, 7, 8 ,9 Each digit can be used only once.

Q: 2. Certain bacteria cells are being observed in an experiment. It was noted that the population…

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Q: What is the sun of the first 50 consecutive odd numbers? What is the sum of the first 1,000…

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Q: If the arithmetic mean of the marks of 3 students equals 9 where the mark of the first student = 6…

A: Given data is appropriate for measures of central tendency . so, for this data we need to find a…

Q: The 5th term of an A.P. is 15 and the first term is 3. What is the sum of the first 10 terms?

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Q: Precisely discuss why the Number ‘2’ is a prime number

A: Here we have to discuss why the Number ‘2’ is a prime number.

Q: What would be the sum of the mean (average) of the first 401 terms in the given sequence of numbers…

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Q: 11.) The sum of four consecutive even integers is 68. Find the four consecutive even integers. What…

A: We know that an even integer is always divisible by 2. Let the first even integer in the consecutive…

Q: Sea turtles can live to be very old. In fact, the oldest sea turtle studied by scientists was…

A: Given ,  Sea turtles can live to be very old In fact, the oldest sea turtle studied by scientists…

Q: If the decimals 0.4721, 0.4722, and 0.48 are arranged on a typical horizontal number line, which is…

A: given numbers are -  0.4721, 0.4722, 0.48

Q: Find acounterexample for this statement: Every whole number greater than 10 is the sum of either two…

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Q: An expiriment requires a sequence of three steps. THe first step can result in three possible…

A: Consider the given information.

Q: Find the sum of the first 7 terms of the arithmeticsequence 1, 3, 5, .....

A: The set of numbers can be arranged with some pattern among them. Some sequence of numbers are named…

Q: Find the sum of the first 10 terms of the arithmeticsequence with first term 50 and common…

A: Given, First term of Arithmetic progression (AP) is a=50 common difference , d=3 Number of terms,…

Q: Is the sequence an = 5 + 4n arithmetic? Your answer is (input yes or no): If your answer is yes, its…

A: Given an=5+4n

Q: Is the sequence an = 8 + 3n arithmetic? Your answer is (input yes or no): If your answer is yes, its…

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Q: After being convited of a crime you are sentenced to 300 consecutive days in Cleveland. If you begin…

A: solution of the problem is given below...

Q: Use inductive reasoning to predict the most probable next number in the given sequence: 13, -21, 34,…

A: Given query is to find the next number is the sequence.

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

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Q: (Show complete solutions) How many four letter words beginning and ending with a vowel without any…

A: Given word is," MATHEMATICS"no.of consonents=(M, T, H,C,S)=5no.of vowels=(A,E,I)=3Total no.of…

Q: Use inductive reasoning to predict the most probable next number in the given sequence: 1, 7, 17,…

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Q: The weighted geometric mean of the four numbers 8, 25, 17 and 30 is 5.3. If the weights of the first…

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Q: Find the sum of the first 10 terms of the arithmeticsequence 7, 10, 13, ....

A: To find the sum of the first 10 terms of the arithmetic sequence, 7,10,13,...

Q: Is the sequence an = 3 + 7n arithmetic? Your answer is (input yes or no): If your answer is yes, its…

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Q: How far did they calculate out before making that decision … 1000 places ….10, 000 places? How many…

A: Given: To explain the given statement as follows,

Q: 4. A witness to a hit and run accident told the police that the license number contained  the…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: If 5 and 2 are the Arithmetic Mean and Harmonic Mean of two distinct numbers, then their Geometric…

A: Given: Arithmetic mean (AM) = 5 Hormonic mean (HM) = 2 Geometric mean (GM) = ?

Q: In a sequence of numbers, the first term is x and each term thereafter is twice the previous term.…

A: solution is given below

Q: Is the sequence an = 6 + 3n arithmetic? Your answer is (input yes or no) if your answer is yes, its…

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Q: 2 6. The sum of the first n odd natural numbers is equal to n.

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Q: 0,1,4,9, .. * ***

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Q: The mathematical sentence for the nth term of number 4 is

A: Here the given number is 4. Since each term is constant and equal to 4. Therefore, the nth term of…

Q: Find the sum of all two digit odd multiples of 3.

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Q: 4) a. If 35! = x, then find 33! in the term of x (without using calculator).

A: Given data is : 35!=x Then, 33! is given as: 35!=xx=35×34×33!33!=x35×3433!=x119033!=0.00084x

Q: 1. Can you show how to calculate the sum of all odd numbers that are greater than 325 and less than…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: What does the Fundamental Theorem of Arithmetic tell us about natural numbers?

A: THIS question related to number theory.

Q: The weighted geometric mean of the four numbers 8, 25, 17 and 30 is 15.3. If the weights of the…

A: Weighted mean is given by, x̄w= Σwixi/Σwi  Given that, Xi: 8, 25, 17, 30 Wi: 5, 3, 4, a  (Let the…

Q: The Mean of the numbers 21, 19, 20, 17, 23 is 20. What will be the new mean if we add 5 to all these…

A: Given that the mean of the numbers 21, 19, 20, 17, 23 is 20.  If we add 5 to all the numbers, then…

Q: A license plate is a sequence of 2 letters followed by 2 different digits.     A letter is A…

A: There are totally 26 letter and 10 digits. A license plate is a sequence of 2 letters followed by 2…

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

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Q: Find four numbers that form a geometric progression such that the third term is greater than the…

A: Solving by geometric progressions we have

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

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.