# How do you write the expression for the nth term of the geometric sequence #a_1=64, r=-1/4, n=10#?

##### 1 Answer

Jul 25, 2017

#### Explanation:

#"the nth term for a geometric sequence is"#

#•color(white)(x)a_n=(a(1-r^n))/(1-r)larra=a_1#

#rArra_n=(64(1-(-1/4)^n))/(1+1/4)#

#color(white)(rArra_n)=256/5(1-(-1/4)^n)#