You know that natural number series: 1,2,3,4,5,6,7,8,9….and so on.
Triangular number is the number obtained by adding all natural numbers less than or equal to given positive integer n or simply it can be said that in triangular number each term is obtained by adding the preceding number and the number itself
that is if the term is 5 then triangular number sequence of the term will be =preceding number+5=1+2+3+4+5=15
similarly ,for 4th term the sequence will be=1+2+3+4=10
The formula for finding the triangular number of nth term is :
if T(n) is triangular number of n th term then
T(n)=1+2+3+4…n=n(n+1)/2
for example for 5th term triangular number is T(5)=5*(5+1)/2=15
In the form of definition a triangular number is that number which can be represented in the form of triangular grid of dots/points in such a manner that each succeeding row consists of one element more than preceding one.
Every body has the knowledge of Square number so it is not required to discus here.
Triangular number is the number obtained by adding all natural numbers less than or equal to given positive integer n or simply it can be said that in triangular number each term is obtained by adding the preceding number and the number itself
that is if the term is 5 then triangular number sequence of the term will be =preceding number+5=1+2+3+4+5=15
similarly ,for 4th term the sequence will be=1+2+3+4=10
The formula for finding the triangular number of nth term is :
if T(n) is triangular number of n th term then
T(n)=1+2+3+4…n=n(n+1)/2
for example for 5th term triangular number is T(5)=5*(5+1)/2=15
In the form of definition a triangular number is that number which can be represented in the form of triangular grid of dots/points in such a manner that each succeeding row consists of one element more than preceding one.
Every body has the knowledge of Square number so it is not required to discus here.
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