Arithmetic Progression
Chapter-5 Arithmetic Progression Introduction to AP Sequences, Series and Progressions A sequence is a finite or infinite list of numbers following a certain pattern. For example: 1, 2, 3, 4, 5… is the sequence, which is infinite.sequence of natural numbers. A series is the sum of the elements in the corresponding sequence. For example: 1+2+3+4+5….is the series of natural numbers. Each number in a sequence or a series is called a term. A progression is a sequence in which the general term can be can be expressed using a mathematical formula. Arithmetic Progression An arithmetic progression (A.P) is a progression in which the difference between two consecutive terms is constant. Example: 2, 5, 8, 11, 14…. is an arithmetic progression. Common Difference The difference between two consecutive terms in an AP, ( which is constant ) is the “ common difference “ (d) of an A.P. In the progress...