Final answer:
The value of f(n) when n = 42 is 945.
Step-by-step explanation:
The given table shows the values of n and f(n) for the equation f(n) = n(n+3)/2. To find the value of f(n) when n = 42, substitute the value of n into the equation and solve:
f(42) = 42(42+3)/2 = 42(45)/2 = 1890/2 = 945
So, the value of f(n) when n = 42 is 945.