13.1 Sequences
In this lesson, we learned the two different types of sequencing, Arithmetic and Geometric. Arithmetic is when you add the same number to every term. Geometric is when you multiply by the same number for every term.
The formula to find the nth term for Arithmetic is tn= t1 + (n - 1)d
Geometric is: tn= t1 x r^(n-1)
t= term n= last number of sequence r= what is being added or multipled d= what is being added or subtracted
Example 1:
If tn=4n-3 find the first 4 terms and say whether it is arithmetic, geometric, or neither.
t1= 4(1)-3= 1
t2=4(2)-3=5
t3=4(3)-3=9
t4=4(4)-3=13
Arithmetic because 4 is being added to every term
Example 2:
If tn=2n+3 find the first 4 terms and say whether it is arithmetic, geometric, or neither.
t1=2(1)+3=5
t2=2(2)+3=7
t3=2(3)+3=9
t4+2(4)+3=11
Arithmetic because 2 is being added to every term
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