Given geometric sequence tn find t1 if t3 = −8 and t8= −256.

Question

t1=___?____

PLEASE HELP AND THANK YOU SOOOO MUCH IF YOU DO!!!

Answer 1

t₃ = t₁r² = -8. So, t₁ = -8 / r²

t₈ = t₁r⁷ = -256

So, (-8 / r²)r⁷ = -256

r⁵ = 32

Therefore, r = 2 and t₁ = -8 / r² = -2