1.find the first, fourth, and eighth terms of the sequence.
a(n) = -5 x 3^n^-1

2.evaluate the function rule for the given value for x = -5.
f(x) = 3^x

3. evaluate the function rule for the given value for x = -2
y = 12 x 3^x

4. identify the initial amount a and the growth factor b in the exponential function.
f(x) = 620 x 7.8^x

5. evaluate the function rule for the given value for x = 3.
f(x) = 15^x

6. identify the initial amount a and the growth factor b in the exponential function.
a(x) = 680 x 4.3^x

7. find the first, fourth, and eighth terms of the sequence. a(n) = -2 x 5^n^-1

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3