Three consecutive odd numbers add up to 147. Write these three odd numbers in ascending order (smallest to largest).

Solve  \(3x – 7 = 7x + 9\).

Sean is biking with a constant speed towards town B from town A.   With the aid of wind, which has a speed of 2.5 km it takes him only one hour to reach the destination.   However, on the way back to town A he has to bike against the wind, and it takes him three hours to reach town A.   Find Sean’s speed.

Expand and simplify \({\left( {{7^x} – {7^{ – x}}} \right)^2}\).

A rectangle is 180 cm² in area and the length is 5 times the width.   Find its dimension.

Find the next two terms of \(5,15,45,135, \cdots \)

A sequence is defined by \({u_n} = 3 \times {\left( { – 2} \right)^n}\). Find \({u_4}\).

\(k + 1,7k + 1\) and \(40k – 5\) are consecutive terms of a geometric sequence. Find the integral value of \(k\).

Consider the sequence \(6,12,18, \cdots \).   Find the number of terms between \(1000\) and \(10 000\).

Amy needs \($2000\) for a new computer which she is planning to buy in 15 months’ time. Assuming that he bank offers a rate of 4.8% per annum with interest compounded monthly, how much should Amy deposit now? Answer correct to the nearest cent.