Mathematics

Problem

Consider the two arithmetic progressions: Progression P:

7,\,10,\,13,\dots

Progression Q:

4,\,9,\,14,\dots

a. (i) For each progression, find the smallest positive term number at which a term equals

55

. b. (ii) State which progression attains the value

55

first. c. (iii) Calculate the sum of all the terms of that progression up to and including the term equal to

55