Answer:
[tex]a_{n}[/tex] = - 8[tex](5)^{n-1}[/tex]
Step-by-step explanation:
The n th term ( explicit formula ) of a geometric sequence is
[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = - 8 and r = - 40 ÷ - 8 = 5, thus
[tex]a_{n}[/tex] = - 8 [tex](5)^{n-1}[/tex]
Answer:
an = (-8/5) × 5^n
Step-by-step explanation:
It is Geometric progression with:
first term: -8
common ratio: -40/-8 = 5
an = (-8) × 5^(n-1)
an = (-8/5) × 5^n
