Sequences and series › Recursive sequences › Computing terms of a recurrence

Fifth term of Alicia's sequence

Middle school · ●○○○○ 10 pts

Alicia starts a sequence with

m=3

. Her algorithm is: 1. Write down the number

m

as the first term. 2. If

m

is even, set

n=\frac{1}{2}m

; if

m

is odd, set

n=m+1

. 3. Write down the number

m+n+1

as the next term. 4. Set

m

equal to the value of the term just written in Step 3. 5. Repeat Steps 2, 3 and 4 until she has five terms, then stop. What is the fifth term of her sequence?

recurrence relations parity