You get a sequence of doubled triangular numbers. This sequence can also be represented by Un = n*(n + 1), [products of pairs of consecutive integers]
Triangular numbers are numbers in the sequence 1, 1+2, 1+2+3, 1+2+3+4. This sequence can be represented by triangles as follows: (very crude figure with an even cruder browser!)xxxxxxxxxxxxxxxxxxxxand so on.The nth term of this sequence is n*(n+1)/2.Triangular numbers are numbers in the sequence 1, 1+2, 1+2+3, 1+2+3+4. This sequence can be represented by triangles as follows: (very crude figure with an even cruder browser!)xxxxxxxxxxxxxxxxxxxxand so on.The nth term of this sequence is n*(n+1)/2.
I'm guessing your sequence is 1, 3, 6, 10, 15, ... In which case it continues: 21, 28, 36, 45, 55, 66, ... (These are the triangular numbers.)
A triangular dipyramid.A triangular dipyramid.A triangular dipyramid.A triangular dipyramid.
"triangular" is an adjective, not a noun. So there is no object such as "the triangular". The triangular WHAT?
You get a sequence of doubled triangular numbers. This sequence can also be represented by Un = n*(n + 1), [products of pairs of consecutive integers]
20th term = 20*(20+1)/2
8 5 4 9 1 7 6 10 3 2 0 This sequence is special because the numbers are in alphabetical order. The Fibonacci sequence is very special and the triangular sequence.
Triangular numbers are numbers in the sequence 1, 1+2, 1+2+3, 1+2+3+4. This sequence can be represented by triangles as follows: (very crude figure with an even cruder browser!)xxxxxxxxxxxxxxxxxxxxand so on.The nth term of this sequence is n*(n+1)/2.Triangular numbers are numbers in the sequence 1, 1+2, 1+2+3, 1+2+3+4. This sequence can be represented by triangles as follows: (very crude figure with an even cruder browser!)xxxxxxxxxxxxxxxxxxxxand so on.The nth term of this sequence is n*(n+1)/2.
1/6 n(n+1)(n+2)
Assuming it continues 15, 21, 28, ... then it is the triangular numbers.
I'm guessing your sequence is 1, 3, 6, 10, 15, ... In which case it continues: 21, 28, 36, 45, 55, 66, ... (These are the triangular numbers.)
It can be hard to answer questions of this type based on only three examples. However, that does happen to be the start of the sequence called the "triangular numbers" ... that is, those quantities that can be arranged in an equilateral triangle (like bowling pins or billiard balls). The next number in the triangular sequence is 10 (followed by 15, 21, 28, etc).
55 is the largest triangular number in the Fibonacci sequence. 55 is a popular speed limit 55 is a odd
A triangular dipyramid.A triangular dipyramid.A triangular dipyramid.A triangular dipyramid.
"triangular" is an adjective, not a noun. So there is no object such as "the triangular". The triangular WHAT?
Fibonacci Sequence: 1,1,2,3,5,8,... Perfect Squares: 1,4,9,16,25,... Triangular Numbers: 1,3,6,10,15,... Prime Numbers: 2,3,5,7,11,13,17,... 2^n: 2,4,8,16,32,64,...