Answer:the nth term of the sequence, Tn= -3n +12
Step-by-step explanation:
The nth term of an arithmetic progression is given as
Tn= a+ (n-1) d
where a= first term
and d = common difference
In this sequence, 9, 6 ,3 ,0, -3, -6 we can see that the number is decreasing by 3
The first term, a= 9
and common difference, d = -3
using our formulae
Tn= a+ (n-1) d
Tn= 9 + ( n-1) -3
Tn=9- 3n+ 3
Tn= -3n +12
When you take this problem and simplify it you get 9p-3
Answer: -6 -2
Step-by-step explanation:
Answer:
Find out the what is the eighth term in the arithmetic sequence defined by the explicit formula.

To prove
As given the explicit formula for the arithmetic sequence .

Put n = 8



Therefore the eighth term in the arithmetic sequence is 23 .