Answer :
Answer:
f(n) = [tex]a_{n}= -34 + 12(n-1)[/tex]
Step-by-step explanation:
The explicit form of an arithmetic sequence is given by the formula:
[tex]a_{n}=a_{1} + d(n-1)[/tex]
an= nth term
a1= first term
d= common difference
In this case, a1= -34
In order to obtain the value of the common difference you have to subtract two consecutive terms of the sequence (The largest minus the smallest)
-22 - (-34) = 12
To confirm that it's the common difference, subtract another two consecutive terms:
-10 - (-22) = 12
Therefore d=12
Replacing in the formula:
[tex]a_{n}= -34 + 12(n-1)[/tex]