Jerry has thought of a pattern that shows powers of two. here are the first six numbers of jerry’s sequence:
1, 2, 4, 8, 16, 32, ….
write an expression for the nth number of jerry’s sequence.

Abank manager wants to encourage new customers to open accounts with principals of at least $2,500. he decides to make a poster advertising a simple interest rate of 3%. what must the principal be if the bank manager also wants to advertise that one can earn $10 the first month? can the poster correctly say, "open an account of $2 comma 500 and earn at least $10 interest in 1 month! "?