Krishna
0

Step 1: Calculate the (any variable)p value

           [NOTE:The definition of an arithmetic series is that the difference of two

           consecutive terms is always constant,]


           EXAMPLE: p, 5p - 8, 3p+8

           (5p - 8) - (p) = (3p + 8) - (5p - 8)

Step 2: Substitute the (any variable) p value in the

           given terms and simplify, to get the proper arithmetic series.


Step 3: Find the nth term of the sequence.(if needed)


Step 4: Find the sum of the first n terms of the series(if needed)

            [Skill 1: Identify the first term in the sequence, call this number a.


            Skill 2: Calculate the common difference(d) of the sequence.


            Skill 3: Identify the number of terms (n).


                         [EXAMPLE: In A.P 2, 4, 6,..... find the sum of the first 10 terms.

                         So take n=10


             Skill 4: Plug the values of n, d, and a into the formula.


                             [FORMULA: The formula for finding the sum of first n terms of an        

                             arithmetic sequence (S_n) =(n/2)[2a + (n- 1)d]


             Skill 5: Simplify further.(apply the BODMAS rules)].


Step 5: Verify the result, is it satisfying the given statement or not