First, consider the number of moves as a sequence: 1, 3, 7, 15, 31, 63,
.
To find a pattern, look at the differences between
consecutive terms. These differences also form a
sequence.
3-1 = 2,7 – 3 = 4, ...
Complete the sequence:
2, 4, ___, ___,

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?