Arithmetic progression (A.P)
If the sum of the difference between any two consecutive terms is constant then the terms are said to be in A.P
Example: 2,5,8,11 or a, a+d, a+2d, a+3d...
If 'a' is the first term and 'd' is a common difference then the general 'n' term is $$T_{n}$$=a+(n-1)d
Sum of first 'n' terms in A.P=$$\frac{n}{2}$$[2a+(n-1)d]
Number of terms in A.P=$$\frac{Last Term-First Term}{Common Difference}$$+1
Properties of Arithmetic progression
If a, b, c, d,.... are in A.P and ‘k’ is a constant then
- a-k, b-k, c-k,... will also be in A.P
- ak, bk, ck,...will also be in A.P
- a/k, b/k, c/k will also be in A.P
