Answer:
The 3rd term is 200
Step-by-step explanation:
∵ [tex]D_{1}[/tex] = 8
- That means the first term of the sequence is 8
∵ [tex]D_{n}[/tex] = [tex]D_{n-1}[/tex] . (-5)
- That means the next term is the product of the previous term and -5
∴ [tex]D_{2}[/tex] = [tex]D_{1}[/tex] . (-5)
∵ [tex]D_{1}[/tex] = 8
∴ [tex]D_{2}[/tex] = 8 . (-5)
∴ [tex]D_{2}[/tex] = - 40
∴ The 2nd term is -40
Let us find the third term
∵ [tex]D_{3}[/tex] = [tex]D_{2}[/tex] . (-5)
∵ [tex]D_{2}[/tex] = - 40
∴ [tex]D_{3}[/tex] = (-40) . (-5)
∴ [tex]D_{3}[/tex] = 200
∴ The 3rd term is 200
