Question

A tank is filled with 20 litres of water. Half the water is removed and replaced with anti freece and thoroughly mixed. Half this mixture is then removed and replaced with anti-freeze This process continues. find the first five terms in the sequence of amounts of water in the tank at each stage​

Answer 1

The sequence of amountof water is geometric(first term

20, commonratio

0.5) but the se-quence of antifreezeis not (a geometricsequence cannot havezero as its first termsince that would implythat all terms are zero).