Understanding math formula one

Let us learn how math formula one works

The mathematical formulas are very useful to calculate the values. These are formulas for algebra, Formulas for percentage, profit and loss, Ratio and Proportions and formulas for area and perimeter.

MATHEMATICAL FORMULAS IN ALGEBRA:
1. N natural numbers formula = n (n+1)/2
2. Squares of first n natural numbers = n (n+1) (2n+1)/6
3. Cubes of first n natural numbers = [n (n+1)/2]²
4. Natural n number (odd) = n²
5. Average = (Sum of the items)/ Total Number of items.
Arithmetic Progression (A.P.): An A.P. is of the form a, a+d, a+2d, a+3d, Where a is called the 'first term' and d is called the 'common difference'
1. N^th term of an A.P is giev as , t_n = a + (n-1) d
2. Sum of the first n terms of an A.P si gievn as, S_n = n/2[2a+ (n-1) d] or S_n = n/2(first term + Last term)
Geometrical Progression (G.P.): A G.P. is of the form a, a r, a r², a r³,... Where a is called the 'first term' and r is called the 'common ratio'.
1. N^th term of a G.P is given as, tn = a r^n-1
2. Sum of the first n terms in a G.P is given as, Sn = a|1-r n|/|1-r|