9514 1404 393
Answer:
a4 = 14
Step-by-step explanation:
Use the recursive definition repeatedly.
a1 = 8
a2 = a1 +2 = 8 +2 = 10
a3 = 10 +2 = 12
a4 = 12 +2 = 14
_____
The recursive definition tells you the terms of the sequence have a common difference of 2. The explicit formula for a term of the sequence can be written as ...
an = 8 + 2(n-1)
Then a4 is ...
a4 = 8 +2(4 -1) = 8+6
a4 = 14
