Arithmetic Sequences instructions: What is the explicit formula for the sequence 5,7,9,11,13…?
What do we know about this sequence?
First find the common difference: d=
What is the first term? a1=
Now we’ll plug those into our general rule for arithmetic sequences:
an=a1+(n−1)d
an= ___ +(n−1)
Now distribute and simplify.
Distribute: an=5+2(n)−2(1)
Multiply: an=5+2n−2
Combine like terms/simplify: an=3+2n
Explicit form is: an= ___ + ___ n