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 = 2 an = 5 What is the first term? a 5 Now we'll plug those into our general rule for arithmetic sequences: a1 + (n - 1) v +(n-1) 2 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 = 1 |x + 2 22