Answer:
[tex] a_{12}= -341,796,875[/tex]
Step-by-step explanation:
Given geometric sequence is: 7, -35, 175
[tex] a_1= 7[/tex]
[tex] r= \frac{-35}{7}=-5[/tex]
n = 12
nth term of a geometric sequence is given as:
[tex] a_n= ar^{n-1} [/tex]
Plug the values of a, r and n in the above equation, we find:
[tex] a_{12} = 7\times (-5)^{12-1} [/tex]
[tex] a_{12}= 7\times (-5)^{11} [/tex]
[tex] a_{12}= 7\times -48,828,125[/tex]
[tex] \purple {\bold {a_{12}= -341,796,875}} [/tex]
