# Math Comic Strip

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#### Storyboard Text

• Not Great. We're learning about Arithmetic Sequences in math and I'm so confused!!
• Kaffmandu
• Hey Allie!! How are you doing?
• I don’t know how to determine if a sequence is an arithmetic sequence, let alone how to determine the pattern of one.
• Ok, well, you need to find the common difference of the pattern
• The common difference? What does that mean?
• 4,6,8,10
• a1,a2...
• Mrs. Noftle
• d = 6-4 =2 d = 8-6 =2 d = 10-8 =2
• The common difference is the pattern between the numbers in an arithmetic sequence. So, if we have a sequence of numbers such as 4,6,8,10, we’d take the 2nd number and subtract the 1st number.
• d= Common Difference d= a2 - a1
• It is an Arithmetic Sequence.
• 4,6,8,10
• a1,a2...
• The common difference would not be the same throughout. The common difference has to be the same for it to be an arithmetic sequence.
• So the common difference of this sequence of numbers would be 2 because the common difference is the same throughout.
• So, then how would we determine if it isn’t an arithmetic sequence?
• d = 6-4 =2 d = 8-6 =2 d = 10-8 =2
• d= Common Difference d= a2 - a1
• It is an Arithmetic Sequence.
• 4,7,10,14
• Mrs. Noftle
• Oh Ok!
• d = 7-4 =3 d = 10-7 =3 d = 14-10 =4
• Well, the common difference is 3 between the first two sets of numbers but not the third, so it isn't an arithmetic sequence.
• Here you try. Your sequence of numbers are 4,7,10,14.
• It is NOT an Arithmetic Sequence.
• 4,7,10,14
• Mrs. Noftle
• d = 7-4 =3 d = 10-7 =3 d = 14-10 =4
• Oh ok, that's not so bad! They’re pretty fun actually!
• It is NOT an Arithmetic Sequence.
• Exactly! See you got it!!
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