arithmetic progression - The first three terms of an arithmetic series are p, 5p – 8, and 3p + 8 respectively. Show that p = 4.

Krishna (last edited 4 years ago) (Expert, Educator @Qalaxia)

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: Simplify further (Apply the BODMAS rules)