Question

A geometric sequence is shown on the graph below. What is the formula for the nth term of the sequence?

Answer 1

Answer:

$\boxed{u_n=40*(\frac{1}{2} )^{n-1})}$

Step-by-step explanation:

$u_1=40\\\\u_2=20=u_1*(\frac{1}{2} )^{2-1}\\\\u_3=10=u_1*(\frac{1}{2} )^{3-1}\\\\u_4=5=u_1*(\frac{1}{2} )^{4-1}\\\\u_5=2.5=u_1*(\frac{1}{2} )^{5-1}\\\\\\\boxed{u_n=40*(\frac{1}{2} )^{n-1})}$