The n th term of an arithmetic progression is 4n – 1. Write down the first four terms of the arithmetic progression.

The n th term of a geometric progression is Find the values of:

• the first term
• the second term
• the common ratio

The number of insects in a culture doubles every hour. If there are 30 insects now, how many insects will there be after 5 hours?

Robert saves $3,200 during one year, $3,600 the next year, and so on, increasing his annual savings at the rate of $400 per annum. Find the number of years it will be before his total savings amount to $90,000.

The sum of the first six numbers in an arithmetic progression is 345. The difference between the first and sixth number is 55. Find the numbers.

Determine the first eight terms of a geometric progression, given that