Jack is building a deck that is 8 ft by 27.63 ft. He has the base built; he just needs to cover the surface with wood. When he g
ets to the hardware store he finds sheets of wood that are four ft by eight ft. Use estimation to determine how many sheets of wood he should buy to cover the surface of the deck.
The area of the deck is : A ( deck ) = 8 * 27.63 = 221.04 ft² The area of the sheet of wood: A ( sheet ) = 4 * 8 = 32 ft² 221.04 : 32 = 6.9 ≈ 7 ( we need a whole number ) Answer: He should buy 7 sheets of wood to cover the surface of the deck.
Each term is half of the previous one, so the common ratio is 1/2. Then to get from the first term to the nth term, you have to take n - 1 steps, multiplying by 1/2 each time and by 6000 to account for the first term.