Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -36 and 2304, respectively.

an = 9 • 4n
an = 9 • (-4)n + 1
an = 9 • 4n - 1
an = 9 • (-4)n - 1

Due to bad planning, two of the local schools have their annual plays on the same weekend. while 457 people attend one, and 372 attend the other, only 104 people were able to attend both. how many people went to at least one play?

Prove that 16^4-2^13-4^5 is divisible by 11.

The table below shows the approximate masses of a dust particle and a grain of pollen. dust particle 0.000000778 g grain of pollen 0.00000000155 g the mass of a dust particle can be estimated and written in the form a × 10^b, where a = 8 and b = the mass of a grain of pollen can be estimated and written in the form a × 10^b, where a = 2 and b = based on the estimates, the mass of a dust particle is approximately blank times larger than the mass of a grain of pollen.