How Do You Find the Common Difference in an Arithmetic Sequence?

'2, 4, 6, 8, ....' is the sequence of numbers we are finding the common difference for
The '...' represents 'so on', which means our sequence doesn't stop at '8', it goes on forever
'2' and '4' are the first two terms in our sequence, and their difference is '4-2'
'4' and '6' are the second and third terms in our sequence, and their difference is '6-4'
'6' and '8' are the third and fourth terms in our sequence, and their difference is '8-6'
4-2=2, 6-4=2, and 8-6=2

1. '2, 4, 6, 8, ....' is our sequence of numbers
1. '2, 4, 6, 8, ....' is our sequence of numbers
2. 'And so on' means that our sequence continues after the number '8'
1. 'Difference' just means one term is subtracted from the next number in the sequence
2. 'Difference' here is the same as a 'common difference'
1. 'Difference' just means one term is subtracted from the next number in the sequence
2. 'Difference' here is the same as a 'common difference'
1. '2' and '4' are the first two terms in our sequence, so their difference is '4-2'
2. 4-2=2
1. '4' and '6' are the second and third terms in our sequence, and their difference is '6-4'
2. 6-4=2
1. '6' and '8' are the third and fourth terms in our sequence, and their difference is '8-6'
2. 8-6=2
1. '2' and '4' are the first two terms in our sequence, and their difference is '4-2', or '2'
2. '4' and '6' are the second and third terms in our sequence, and their difference is '6-4', or '2'
3. '6' and '8' are the third and fourth terms in our sequence, and their difference is '8-6', or '2'
1. This pattern can be thought of as a common difference
2. So the common difference is '2'
1. This pattern can be thought of as a common difference
2. So the common difference is '2'

Find the common difference in the sequence 2, 4, 6, 8, ...