0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153
1'3'10 etc;
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 ).
The two triangular numbers that add up to 100 are 36 and 64. The triangular number sequence is generated by the formula ( T_n = \frac{n(n+1)}{2} ). For ( n = 8 ), ( T_8 = 36 ), and for ( n = 11 ), ( T_{11} = 64 ). Together, they satisfy the equation ( 36 + 64 = 100 ).
1, 3, 6, 10, 15, 21, 28, 36, 45, 55.
59
1, 3, 6, 10, 15, 21, 28, 36
1,3,6,10,15,21,28,36,45,47,66,78,91,95
0,1,3,6,10,15,21,28,36,45,56,68,81,95,110,126,143,161,180,200. That's all the triangular numbers up to 200! I hope that's helped anyone with any thing.
166 and 167
1'3'10 etc;
45
-1999
Let x be one of the numbers. Then the other number is 166 - x. Given that their difference is 32, we can set up the equation x - (166 - x) = 32 and solve for x. This yields x = 99 and 166 - x = 67. So, the two whole numbers are 99 and 67.
28 and 10 are both triangular numbers and add up to 38
1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400 All the square numbers up to 20!
The sum of two numbers that equal 333 can be calculated by dividing 333 by 2, which equals 166.5. Since the numbers must be whole numbers, the two numbers that add up to 333 are 166 and 167. Adding 166 and 167 equals 333.
The two triangular numbers that add up to 100 are 36 and 64. The triangular number sequence is generated by the formula ( T_n = \frac{n(n+1)}{2} ). For ( n = 8 ), ( T_8 = 36 ), and for ( n = 11 ), ( T_{11} = 64 ). Together, they satisfy the equation ( 36 + 64 = 100 ).