What are some real - life examples of when you want to keep heat energy from being lost to the environment?

Friction: Rubbing your hands together to create heat

Conduction: Putting your body parts over something warm, for example a fire

Radiation: Laying in the sun to soak up the warmth

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2