This worksheet is prepared by
BASA RAJA GOPAL
This worksheet prepared with Simple Basic and Important Questions from "Arithmetic Progression" ( First term, Common Difference, nth Term, and Sum to n terms) of 10th class.
Introduction:
An Arithmetic progression is a list of numbers in which each term, except the first term is obtained by adding or subtracting a fixed number to the preceding term.
This fixed number is called the common difference of the A.P. it is denoted by "d" and we denotes the first term of an A.P. by "a".
General form of A.P.: a, a+d, a+2d, a+3d, a+4d, a+5d,...............
If an A.P. has only a finite number of terms. Such an A.P. is called a finite A.P.
Also note that each of these Arithmetic Progressions (A.P.s) has a last term.
The A.P.s which are not finite A.P.s are called infinite Arithmetic Progressions. Such A.P.s are never ending and do not have a last term.
The nth term of an A.P.:
first term "a" and common difference "d" then nth term is given by "an = a + (n – 1) d" an is also called general term of the A.P..
Sum of n terms of an A.P.:
first term "a", common difference "d" and number of terms "n" then sum to n term is given by "Sn=n/2[2a+(n-1)d]"
first term "a", last term "l" and number of terms "n" then sum to n term is given by "Sn=n/2[a+l]"