Name: 

Which of the following numbers occurs in the sequence –15, –11, –7, –3, 1, . . .?

The sum of the series (–9) + (–11) + (–13) + + (–23) is

The sum of an arithmetic series where t₁ = –6, t₃ = –13, and n = 11 is

For the arithmetic series (–290) + (–296) + (–302) + + (–386), the values of , d, and n are

On the first day of the month, Michael places 3¢ in a jar. The next day, he places 8¢ in the jar. The third day, he places 13¢ in the jar, and so on for 15 days. What amount will be in the jar at the end of this period of time?

The population of a community was 98 000 at the beginning of 2000. Assuming a rate of growth of 2.8% per year since 2000, what will the population be at the beginning of 2028?

The first three terms of the sequence given by are

The sum of the geometric series 11 + 33 + 99 + + 2673 is

The sum of the geometric series 8 + 4 + 2 + + 0.5 is

What is the value of S₁₂ for the series 5 – 10 + 20 – 40 + ?

What is the reference angle for 160° in standard position?

What is the exact cosine of ÐA?

The point (24, –45) is on the terminal arm of ÐA. Which is the set of exact primary trigonometric ratios for the angle?

What is the exact value for ?

Determine, to the nearest tenth of a centimetre, the two possible lengths of a.

Which of the following triangles cannot be solved using the sine law?

Diagrams not drawn to scale.

Which strategy would be best to use to solve for x?

What is the length of x, to the nearest tenth of a metre?

Solve the following triangle, rounding side lengths to the nearest tenth of a unit and angle measures to the nearest degree.

Diagram not drawn to scale.

, b = 16, a = 20.6

While flying, a helicopter pilot spots a water tower that is 6.1 km to the north. At the same time, he sees a monument that is 4.5 km  to the south. The tower and the monument are separated by a distance of 7.7 km along the flat ground. What is the angle made by the water tower, helicopter, and monument?

A company purchases a new computer system valued at $42 000. For income tax purposes, an accountant determines that the annual depreciation rate (rate of decrease in value) for the equipment is 11%.
a) Make a table of values to show the value of the system over the first 5 years.
b) Determine an explicit formula in function notation to model the value of the system in year n.
c) What is the value of the system at the end of year 20?
d) How realistic is the answer to part c)? Explain.

One side of a square is 12 cm. The midpoints of its sides are joined to form an inscribed square, and this process is continued as shown.


What is the sum of the perimeters of the squares if this process is continued without end? Give an exact answer as well as an approximation.

Gursant and Leo are both standing on the north side of a monument that is 6.0 m tall. Leo is standing 3.5 m closer to the monument than Gursant. Leo measures the angle from the ground to the top of the monument to be 41°. Determine the angle that Gursant would measure from the ground to the top of the monument, to the nearest degree.

Two sides of a triangle are x units and y units in length. The angle between them is q. Prove that the area of the triangle is .

A salvage vessel locates a sunken ship directly below it. The angle of depression from the salvage vessel to one end of the ship is 29.3° and to the other end is 47.5°. If the length of the ship is 143 m, determine how far beneath the water’s surface it is, to the nearest metre.