Answer:
nth term formula is [tex]a_n=m(-1)^{n-1}[/tex]
Step-by-step explanation:
the sequence m, -m, m, -m, . .
The difference between the terms is 0 . so lets find the common ratio
To find common ratio , divide the next term by previous term
[tex]\frac{m}{-m} =-1[/tex]
[tex]\frac{-m}{m} =-1[/tex]
Common ratio -1. It is a geometric sequence
General term for the sequence is
[tex]a_n=a_1(r)^{n-1}[/tex]
where a1 is the first term and 'r' is the common ratio
a1=m , r=-1
[tex]a_n=m(-1)^{n-1}[/tex]
