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.


[RECALL: Simplify [Q-A1.O.6]


Step 4: Find the sum of the series.

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


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


   Skill iii: 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 iv: 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 v: Simplify further.(Apply the BODMAS rules)

    Skill vi: Verify the result, is it satisfying the given statement

                or not