Answer:
[tex]T_n=-1(-5)^n^-^1[/tex]
Step-by-step explanation:
We are given;
A geometric sequence;
-2,10,-50
Required to determine the nth term
The nth term in a geometric sequence is given by the formula;
[tex]T_n=a_1r^n^-^1[/tex]
where [tex]a_1[/tex] is the first term and r is the common ratio;
In this case;
[tex]a_1=-2[/tex]
r = 10 ÷ -2
= -5
Therefore;
To get the nth term in the given geometric sequence we use;
[tex]T_n=-1(-5)^n^-^1[/tex]
Thus, the nth term is [tex]T_n=-1(-5)^n^-^1[/tex]
