Write the explicit formula that represents the geometric sequence -2, 8, -32, 128
Write the explicit formula that represents the geometric sequence -2, 8, -32, 128
t1=−2r=8−2=−4tn=t1⋅rn−1tn=(−2)⋅(−4)n−1tn=(−2)⋅(−4)n⋅(−4)−1tn=(−2)(−4)−1⋅(−4)ntn=−2−4⋅(−4)ntn=12⋅(−4)n
I just wanted to muck around with this question and show how all the answers can be tied together :))
I would normally just have stopped on the first line :)
Write the explicit formula that represents the geometric sequence -2, 8, -32, 128
a=-2 r=-4
tn=−2∗(−4)n−1ortn=−2∗(−4)n(−4)−1tn=−2−4∗(−4)ntn=12∗(−4)ntn=12∗(−1)n∗(4)ntn=12∗(−1)n∗(22)ntn=12∗(−1)n∗22ntn=(−1)n∗22n−1