Step-by-step explanation:
First term (a) = 64 = t1
Second term (t2) = -32
Common ratio (r) = t2/ t1 = -32 / 64 = - 1/2
Now
Tn =
[tex]a {r}^{n - 1} [/tex]
[tex]t14 = 64 \: ( - \frac{1}{2}) ^{14 - 1} [/tex]
[tex] = 64 \: ( - \frac{1}{2} ) {}^{13} [/tex]
= - 64 * 1 / 8192
= - 1/128
Hope it will help :)❤