Finite Math Final Exam

Front

Find the next term in the sequence: 2, 6, 18, 54, ...

Back

The next term is 162. This sequence is a geometric progression where each term is multiplied by 3.

Front

What is the volume of a sphere with radius 4 units?

Back

The volume is 268.08 cubic units. The formula for the volume of a sphere is V = (4/3)πr³.

Front

If two coins are flipped, what is the probability of getting two heads?

Back

The probability is 1/4. There are 4 possible outcomes: HH, HT, TH, TT.

Front

What is the area of a circle with a radius of 5 cm?

Back

The area is 78.54 cm². The formula for the area of a circle is A = πr².

Front

Find the next two terms of the sequence: -4, 8, -16, 32, -64

Back

The next two terms are 128 and -256. This sequence alternates signs and doubles in absolute value.

Front

Define a geometric sequence.

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is given by V = πr²h, where r is the radius and h is the height.

Front

Explain the concept of probability.

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 (impossible) and 1 (certain).

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is A = 1/2 * base * height.

Front

Define a sequence.

Back

A sequence is an ordered list of numbers that follow a particular pattern or rule.