In some year, a candy shop produced 100 boxes of candy per working day in January. In each month following this, the shop produced 25 more boxes of candy per working day in addition to the previous month.

How much boxes did the candy shop produce on each working day in October?

Answer: 325 boxes of candy will be produced on each working day in October

Step-by-step explanation:

The initial number of boxes of candy produced is 100. In each month following this, the shop produced 25 more boxes of candy per working day in addition to the previous month. This means that the number of boxes produced each month is increasing in arithmetic progression. The formula for the nth term of an arithmetic sequence is expressed as

Tn = a + (n-1) d

Where

a is the first term of the sequence

n is the number of terms

d is the common difference.

From the given information,

a = 100

d = 25

n = number of months from January to October = 10

Tn = 100 + (10 - 1) 25

Tn = 100 + 9*25

Tn = 100 + 225 = 325