Arithmetic Progressions online mcq quiz
Arithmetic Progressions boostup points
➟ Look at the list of numbers 1, 3, 5, 7………
➟ Each of the numbers in the list is called a term.
➟ An arithmetic progression is a list of numbers in which each term is obtained by adding a fixed number to the preceding term except the first term.
➟ This fixed number is called the common difference of the AP. It can be positive, negative or zero
➟ The general form of an AP is: a , a + d, a + 2d, a + 3d, . . .
➟ An AP with finite number of terms is a finite AP. That means the AP has a last term.
➟ An AP which does not have finite number of terms is an infinite AP. That means the AP doesnot have a last term. nth term of an AP
➟ Let a1, a2, a3,…… Be an AP whose first term a1 is a and the common difference is d
Then, The Second term a2 = a + d = a + (2 – 1) d
The third term a3 = a2 +d = (a + d) + d = a + 2d = a + (3 – 1) d
The fourth term a4 = a3 + d = (a + 2d) + d = a + 3d = a + (4 – 1) d
➟ Looking at the pattern, we can say that the nth term an = a + (n - 1) d.So, the nth term an of the AP with first term a and common difference d is given by an= a + (n -1) d.
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