Question

–14, –7, 0, 7, 14, …
Find the 19th term…

Answer 1

This is an Arithmetic progression with d = 7
[-7-(14) = 0-(-7) = 14-7] =7
The q1st term is = - 14
The nth term in a AP = first term + (n-1)d, where n = the rank of the term:

Value of the 19th term a₁₉ = (-14)(19-1)(7) = (-14)(18)(7) = - 1764