manny’s pizza shows declining sales over the last few months. their net profit in hundreds of dollars follows the arithmetic sequence 4, 1, −2, −5, …, −56. what is their total profit over this time period?

The total profit over this period is -546

Step-by-step explanation:

Given

Sequence: 4, 1, −2, −5, …, −56

Required

Determine the total profit

To do this, we simply calculate the sum of terms (Sn)

But first, we need to determine the value of n using

Where:

Substitute these values in the above formula, we have:

Collect Like Terms

Recall that:

This gives:

The total profit over this period is -546

answer: 20

step-by-step explanation: