Answer:
T12 = -47
Explanations:
The nth term of an arithmetic sequence is expressed as:
[tex]T_n=a+(n-1)\cdot d[/tex]
where:
• a is the, first term
,
• n is the ,number of terms
,
• d is the ,common difference
Given the following parameters
a = 30
n = 12 (12th term)
d = -7 (common difference)
Substitute the given parameters into the formula
[tex]\begin{gathered} T_{12}=30+(12-1)\cdot(-7) \\ T_{12}=30+11(-7) \\ T_{12}=30-77 \\ T_{12}=-47 \end{gathered}[/tex]
Hence the 12th term of the arithmetic sequence is -47
