f(1) = 15,\quad f(2) = 30,\quad f(3) = 45,\quad f(4) = 60

Mon, 04 May 2026 09:00:00 +0000

Understanding the Linear Pattern: Solving for f(n) = 15 at f(1) = 15, f(2) = 30, f(3) = 45, f(4) = 60 When examining a sequence of ordered pairs such as: - f(1) = 15
- f(2) = 30
- f(3) = 45
- f(4) = 60 we notice a clear arithmetic progression: each term increases by 15 as the input increases by 1. This strong linear pattern suggests that the function f(n) is linear in nature, describable by a simple equation of the form:
f(n) = an + b, where a is the slope and b is the y-intercept.