Answer:
a(n)= a + (n - 1)d
a(n) = 17 - 3n
Step-by-step explanation:
14, 11, 8 , 5 , ...
The given sequence above is an Arithmetic sequence and the explicit formula is given as:
a(n) = a + (n - 1)d
Where
a = First term = 14
n = number of terms
d = common difference
The common difference =
Second term - First term or Third term - Second term
= 11 - 14 or 8 - 11 or 5 - 8
= -3
Therefore, the explicit formula for the nth term a(n) is written as:
a(n) = 14 + (n - 1)-3
a(n) = 14 -3n + 3
a(n) = 14 + 3 - 3n
a(n) = 17 - 3n
The explicit formula a(n) =
a(n) = 17 - 3n
