(geometric sequences)

please answer the following questions

provide working out ONLY. Don't need to provide explanation

1/ A farmer harvests 4 tonnes of lucerne in his first year of production. In his business plan, he has

estimated an annual increase of 6% on his lucerne harvest.

a According to this plan, how many tonnes of lucerne should he harvest in his 7th year of

production?

2/The population of a town is decreasing by 10% each

year. Find an expression for the population of the town, which

will be referred to as Pn. The population in the first year, P1, was

10 000.

3/5 The population of the newly established town of Alansford in its first year was 6000. It is predicted that the

town's population will increase by 10% each year. If this were to be the case, find:

a the population of the town in its 10th year

b in which year the population of Alansford would reach 25 000.