Answer:
The 7th term is 0
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences are identified because every term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)d[/tex]
Where
an = nth term
a1 = first term
d = common difference
n = number of the term
We are given the first term a1=-12 and the common difference d=2. Let's find the 7th term (n=7):
[tex]a_7=-12+(7-1)2[/tex]
[tex]a_7=-12+12=0[/tex]
The 7th term is 0