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Mr. Ade borrows ₦ 530.00 in the first month. Each month after that, he borrows ₦ 15.00 more than the previous month. How much will he have borrowed in total after 12 months?
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3 stepsOkay ~Gracina~, let's calculate Mr. Ade's total debt.
This problem describes an arithmetic progression, where Mr. Ade's monthly borrowing increases by a constant amount.
Identify the first term, common difference, and number of terms.
The sequence of borrowings is ₦ 530.00, ₦ 545.00, ₦ 560.00, ...
The first term () is the amount borrowed in the first month:The common difference () is the difference between consecutive terms:
The total debt is for "a year", which means 12 months. So, the number of terms () is:
Use the formula for the sum of an arithmetic progression.
The sum of the first terms of an arithmetic progression () is given by the formula:
Substitute the values and calculate the total debt.
Substitute , , and into the formula:
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