Whats the 32nd term of the following sequence:
5, 8, 11, ...

See picture.

Step-by-step explanation:

A cosine function is a wave which starts up at its max value on the y-axis. Here the max is 20 so the cosine graph will start at 20 on the y-axis.

It descends into its valley settling at its lowest point the minimum value. Here it is 0.

The number of times it does this within a cycle is the coefficient of the variable inside the function. This results in the period or length of one cycle. The period is found by dividing 2π by that coefficient. Here the period is 5. So 2π/x = 5, x = 1.256 will be the coefficient. This means between 0 and 2π, it completes 1.256 cycles.

Look for a graph with maximum 20 on the y-axis and minimum 0 that cycles through about 1.256 between 0 and 6.28. See attached picture.