1. Find the value of k so that 2, k^2, 8 form a geometric sequence.

2. Water is leaking from a water tower. On the first day, two gallons were lost. The leak is getting progressively worse and the amount of water lost triples each day. How many gallons would be lost on the 8th day?

1 answer

1. if GS , then k^2/2 = 8/k^2
k^4 = 16
k^2 = ± 4
but k^2 can't be -4

k^2 = 4
k = ± 2

2. looks like a = 2 , r = 3
find term(8)
Just use your basic formula