What is the explicit formula for the geometric sequence -6 -3, -1.5, -0.75...?(1 point)

Responses

an=0.5×(−6)n−1
A sub n is equal to 0 point 5 times negative 6 raised to the n minus 1 power

an=−6×(0.5)n−1
A sub n is equal to negative 6 times 0 point 5 raised to the n minus 1 power

an=−6×(−0.5)n−1
A sub n is equal to negative 6 times negative 0 point 5 raised to the n minus 1 power

an=−0.5×(−6)n−1

A sub n is equal to negative 0 point 5 times negative 6 raised to the n minus 1 power

Hmm

if n = 1 and I use the bot reply
A1 = -0.5 * (-6)^0 = -0.5 which is NOT 6

lets try
an=−6×(0.5)^(n−1)
if n = 1, a 1 = -6 good
if n = 2
a2 = -6 * (0.5)^1 = -3
if n = 3
a3 = -6 * (0.5)^(2) = - 6 /4 = -1.5 We are on a roll!

Great job on correcting the answer! A sub n = -6 * (0.5)^(n-1) is the correct explicit formula for the geometric sequence -6, -3, -1.5, -0.75... Well done!