Given:
The given expression to find the nth term of the sequence is [tex]d(n)=d(n-1) \cdot (-5)[/tex]
The first term of the sequence is [tex]d(1)=8[/tex]
We need to determine the third term of the sequence.
Second term:
The second term of the sequence can be determined by substituting n = 2 in the nth term of the sequence.
Thus, we have;
[tex]d(2)=d(2-1) \cdot (-5)[/tex]
[tex]d(2)=d(1) \cdot (-5)[/tex]
[tex]d(2)=8 \cdot (-5)[/tex]
[tex]d(2)=-40[/tex]
Thus, the second term of the sequence is -40.
Third term:
The third term of the sequence can be determined by substituting n = 3 in the nth term of the sequence.
Thus, we have;
[tex]d(3)=d(3-1) \cdot (-5)[/tex]
[tex]d(3)=-40 \cdot (-5)[/tex]
[tex]d(3)=120[/tex]
Thus, the third term of the sequence is 120.
Answer:
200
Step-by-step explanation:
i checked on khan academy
