Part 1: Using complete sentences, explain the difference between an arithmetic sequence and an arithmetic series.

Part 2: Describe a real world scenario that is an arithmetic series. Show your work as you find the 7th term of your scenario.

Question

Part 1: Using complete sentences, explain the difference between an arithmetic sequence and an arithmetic series. 

Part 2: Describe a real world scenario that is an arithmetic series. Show your work as you find the 7th term of your scenario.

anonymous · Answer

Part 1: An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.

anonymous · Answer

one is a sum the other is not. THe one with the word series is the sum one.

anonymous · Answer

Part 2: A coffee shop in a city has usually has 10 visitors between 7:00 a.m. and 8:00 a.m. After a while, its customers kept increasing by 2 every day for 7 days in a row. Assume that each time a customer orders one cup of coffee.
 How many cups of coffee were sold on the seventh day?

anonymous · Answer

This is an arithmetic series with first term a=10 and common difference d=2.
 7th term = a+(7-1)d 
=a+6d
 =10+(6)(2)
 = 22

anonymous · Answer

lets say i making a pyramid and the  the row below has 1 more than the one on top
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1     
2   
3
4
5
that is a sequence


the series will be the sum of the numbers in the sequence

1+2+3+4+5