Arithmetic Progressions: Basic Explanation

Quantities are said to be in arithmetic progressions (A.P.) when they increase or decrease by a common difference.

E.g. I. 3, 7, 11, 15…..

       II. 8, 2, -4, -10…..

       III. a, a+d, a+2d, a+3d…..

Common difference: The common difference (d) is found by subtracting any                                         term of the series from the next term.

E.g. in I. d = 7-3 = 4

        In II. d = 2-4 = -6

        In III. d = a+d – d = a

  • The nth term of an arithmetic progression is given by:

  Tn = a + (n-1) d

Where a is the first term of the series, d is the common difference and n is the number of terms.

  • If n be the number of terms, and if L denotes the last term or nth term than

                                                           L = a + (n-1) d

Basic Questions

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