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The numbers 1, 3, 6, 10, 15 are called triangular numbers because they represent the number...
10. The following triangular arrays of dots led the early Greeks to call the numbers 1,...
10. The following triangular arrays of dots led the early Greeks to call the numbers 1, 3, 6, 10, 15, ... triangular num- bers just as 1,4,9,16,.. are called square numbers and can be associated with square arrays of dots. Since 1 = 1, 1+ 2 = 3, 1+ 2+ 3 = 6, 1 + 2 + 3 + 4 = 10, and so on, it is clear that the nth triangular number is given by the formula t(n)=1+2+ …+n="...
This is the sequence 1,3,6,10,15 the pattern is addin 1 more than last time but what is the name for this pattern These are called the triangular numbers The sequence is 1 3=1+2 6=1+2+3 10=1+2+3+4 15=1+2+3+4+5 You can also observe this pattern
This is the sequence 1,3,6,10,15 the pattern is addin 1 more than last time but what is the name for this patternThese are called the triangular numbers The sequence is 1 3=1+2 6=1+2+3 10=1+2+3+4 15=1+2+3+4+5 You can also observe this pattern x _________ x xx __________ x xx xxx __________ x xx xxx xxxx to see why they're called triangular numbers. I think the Pythagoreans (around 700 B.C.E.) were the ones who gave them this name. I do know the...
Function name: triangular Parameters: integer Returns: a list Description: Write a function called triangular that accepts...
Function name: triangular Parameters: integer Returns: a list Description: Write a function called triangular that accepts one integer parameter that returns a list with the same number of terms as the value of the parameter. If the parameter is zero or a negative number, you should return an empty list A triangular number is the sum of a positive integer and all the integers before it. The series is as follows: 1, 3, 6, 10, 15, 21,
Number of Numbers (10 pts) For this assignment you will be working with arrays. Open a...
Number of Numbers (10 pts) For this assignment you will be working with arrays. Open a new Java project called Nums Prompt a user to enter in the length of the array (the number of numbers). Enter the number of numbers: Use this information to declare an array of the user-specified length. Next, using a for loop, prompt the user to enter that many numbers, and store each one in your array until your array is at full capacity. Using...
55 The data to the right represent the number of customers waiting for a table at...
55 The data to the right represent the number of customers waiting for a table at 6:00 PM for 40 consecutive Saturdays at Bobak's Restaurant. Complete parts (a) through (h) below. 8 13 9 13 9 9 10 12 12 11 6 5 7 11 6 6 8 3 6 10 10 4 7 8 5 6 9 9 5 9 5 5 8 9 9 10 8 12 8 (a) Are these data discrete or continuous? Explain. O A....
FindGCF.py 1 #The Greatest Common Factor (GCF) of two numbers is the 2 #largest number that...
FindGCF.py 1 #The Greatest Common Factor (GCF) of two numbers is the 2 #largest number that divides evenly into those two 3 #numbers. For example, the Greatest Common Factor of 48 4 #and 18 is 6. 6 is the largest number that divides evenly 5 #into 48 (48 / 6 = 8) and 18 (18 / 6 = 3). 6 # 7 #Write a function called find gcf. find gcf should have 8 #two parameters, both integers. find_gcf should return...
6 Generate Triangle Numbers: You must use Python 3 Write a function called generateTriangleNumbers(). This function...
6 Generate Triangle Numbers: You must use Python 3 Write a function called generateTriangleNumbers(). This function will take in an integer x and will return a list of integers containing the first x triangle numbers. The nth triangle number is the sum of 1 + 2 + 3 + 4...(n − 1) + n. Some example input-output pairs: 3 -> [1, 3, 6] 1 -> [1] 7 -> [1, 3, 6, 10, 15, 21, 28]
Algorithm Humble Numbers Problem 4-1 (Humble Numbers) 10 points A number k > 1 is called...
Algorithm
Humble Numbers
Problem 4-1 (Humble Numbers) 10 points A number k > 1 is called humble if the only prime factors of k are 3 and 5. Consider the task of on input n, outputting the n smallest humble numbers and the following algorithm to do it: HuMBLE(n) count = 0. pret,Output = 0 HEAP.INSERT (3) HEAP.INSERT (5) while (count < n) cur - HEAP. EXTRACTMIN if cur prevOutput then output cur HEAP,INSERT(3*cur) HEAP.İNSERT(5*cur) count -count+1 preu,Output = cur...
32.) the data on the right represent the number of live multiple delivery births (3 or...
32.) the data on the right represent the number of live multiple
delivery births (3 or more babies) in a particular year for women
15 to 54 years old. use data to complete parts a through d
The data on the right represent the number of the multiple delivery birthe (three or more babies) na particular you for women 16 to 5 years old. Use the date to complete parts (4) through (4) below Number of Multiple Birth Age 15-19...
This is a C++ Program!!! Define a class called Rational that would represent rational numbers. Write...
This is a C++ Program!!! Define a class called Rational that would represent rational numbers. Write a constructor that would accept two integers and initialize the numerator and denominator of the object to their values. Also include a default constructor that would initialize the numerator to 0 and denominator to 1. Implement the member functions add, sub, mul, div, less, and equal to carry out the operations +, -, *, /, <, and == (i.e., a + b would be...
10. The following triangular arrays of dots led the early Greeks to call the numbers 1, 3, 6, 10, 15, ... triangular num- bers just as 1,4,9,16,.. are called square numbers and can be associated with square arrays of dots. Since 1 = 1, 1+ 2 = 3, 1+ 2+ 3 = 6, 1 + 2 + 3 + 4 = 10, and so on, it is clear that the nth triangular number is given by the formula t(n)=1+2+ …+n="...
Function name: triangular Parameters: integer Returns: a list Description: Write a function called triangular that accepts one integer parameter that returns a list with the same number of terms as the value of the parameter. If the parameter is zero or a negative number, you should return an empty list A triangular number is the sum of a positive integer and all the integers before it. The series is as follows: 1, 3, 6, 10, 15, 21,
55 The data to the right represent the number of customers waiting for a table at 6:00 PM for 40 consecutive Saturdays at Bobak's Restaurant. Complete parts (a) through (h) below. 8 13 9 13 9 9 10 12 12 11 6 5 7 11 6 6 8 3 6 10 10 4 7 8 5 6 9 9 5 9 5 5 8 9 9 10 8 12 8 (a) Are these data discrete or continuous? Explain. O A....
FindGCF.py 1 #The Greatest Common Factor (GCF) of two numbers is the 2 #largest number that divides evenly into those two 3 #numbers. For example, the Greatest Common Factor of 48 4 #and 18 is 6. 6 is the largest number that divides evenly 5 #into 48 (48 / 6 = 8) and 18 (18 / 6 = 3). 6 # 7 #Write a function called find gcf. find gcf should have 8 #two parameters, both integers. find_gcf should return...
Algorithm
Humble Numbers
Problem 4-1 (Humble Numbers) 10 points A number k > 1 is called humble if the only prime factors of k are 3 and 5. Consider the task of on input n, outputting the n smallest humble numbers and the following algorithm to do it: HuMBLE(n) count = 0. pret,Output = 0 HEAP.INSERT (3) HEAP.INSERT (5) while (count < n) cur - HEAP. EXTRACTMIN if cur prevOutput then output cur HEAP,INSERT(3*cur) HEAP.İNSERT(5*cur) count -count+1 preu,Output = cur...
32.) the data on the right represent the number of live multiple
delivery births (3 or more babies) in a particular year for women
15 to 54 years old. use data to complete parts a through d
The data on the right represent the number of the multiple delivery birthe (three or more babies) na particular you for women 16 to 5 years old. Use the date to complete parts (4) through (4) below Number of Multiple Birth Age 15-19...
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