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Triangular numbers are the sum of the natural numbers up to a certain point. The triangular numbers less than 60 are 1, 3, 6, 10, 15, 21, 28, 36, 45, and 55. These numbers can be calculated using the formula ( T_n = \frac{n(n + 1)}{2} ), where ( n ) is a positive integer. The largest triangular number less than 60 is 55, which corresponds to ( n = 10 ).

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What is a number less than 60 which is triangular and a square number?

1 is a triangular and square number, and it is less than 60.


How many whole numbers are odd numbers less than 60?

There are 30 whole numbers that are odd numbers less than 60 which are also positive. Otherwise, there are infinitely many of them.


What are the composite numbers greater than 60 and less than 70?

Composite numbers less than 70 and greater than 60 are 62, 63, 64, 65, 66, 68 and 69.


It is less than 60 but greater than 55?

Sticking with integers, numbers less than 60 but greater than 55 are 56, 57, 58 and 59.


A square number just greater than 60 which is the result of sum of two triangular numbers?

64 = 28 + 36


The GCF of two numbers is 8 Both of the numbers are greater than 45 and less than 60 What are the numbers?

48 and 56


How many whole numbers are less than 60 that are prime?

There are 17 of them


what is the set of even numbers greater than 39 less than 60?

6


How manywhole number are greater than 9 and less than 60?

The whole numbers greater than 9 and less than 60 start at 10 and end at 59. To find how many whole numbers there are in this range, you can subtract 10 from 59 and then add 1 (to include both endpoints): 59 - 10 + 1 = 50. Therefore, there are 50 whole numbers greater than 9 and less than 60.


What is the sum of even numbers that are greater than 10 but less than 20?

The even numbers greater than 10 but less than 20 are 12, 14, 16, and 18. To find the sum, we add these numbers: 12 + 14 + 16 + 18 = 60. Therefore, the sum of the even numbers in that range is 60.


What numbers are less than 60 but divisible by 5 and 2?

20 and 40


What LCM or two numbers is 60 and one of the numbers is 7 less than another number. What are the numbers .justify your answer?

To find the least common multiple (LCM) of two numbers, we first need to find the numbers themselves. Let's call the numbers x and x-7, where one number is 7 less than the other. The LCM of 60 and x is 60x divided by their greatest common divisor (GCD). Since 60 is a multiple of 60 and x is a multiple of x, the LCM is 60x. Therefore, the numbers are 60 and 53.