A catering company has 15 customer orders during its first month, for each month afterward, the comopany has double the number of orders than the previous month. How many orders in total did the company fill at the end of its first year ?
To find the total number of orders the catering company filled at the end of its first year, we need to determine the number of orders for each month and then sum them up.
First, we know that the company had 15 customer orders during its first month.
For each subsequent month, the company has double the number of orders than the previous month. Starting from the second month, we can calculate the number of orders using the formula:
Number of orders for the current month = Number of orders for the previous month * 2
Let's break it down month by month:
1st month: 15 orders (given)
2nd month: 15 orders * 2 = 30 orders
3rd month: 30 orders * 2 = 60 orders
4th month: 60 orders * 2 = 120 orders
5th month: 120 orders * 2 = 240 orders
6th month: 240 orders * 2 = 480 orders
7th month: 480 orders * 2 = 960 orders
8th month: 960 orders * 2 = 1920 orders
9th month: 1920 orders * 2 = 3840 orders
10th month: 3840 orders * 2 = 7680 orders
11th month: 7680 orders * 2 = 15360 orders
12th month: 15360 orders * 2 = 30720 orders
Now, we can calculate the total number of orders filled by summing up the orders for each month:
Total number of orders = 15 + 30 + 60 + 120 + 240 + 480 + 960 + 1920 + 3840 + 7680 + 15360 + 30720
= 61455
Therefore, the company filled a total of 61,455 orders at the end of its first year.