Finite Math Final Exam

Front

Convert the number 0.000789 to scientific notation.

Back

7.89 × 10^-4

Front

What is the definition of 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

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

Back

162

Front

What is the formula for the nth term of a geometric sequence?

Back

The nth term (a_n) can be calculated using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

What is the 5th term in the geometric sequence 3, 9, 27, 81?

Back

243

Front

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

Back

1/4

Front

What is scientific notation?

Back

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form, using powers of ten.

Front

What is the common ratio in the geometric sequence 3, 9, 27, 81?

Back

The common ratio is 3, as each term is multiplied by 3 to get the next term.

Front

How do you calculate the probability of an event?

Back

Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is the probability of rolling a sum of 7 with two six-sided dice?

Back

There are 6 favorable outcomes, so the probability is 6/36 or 1/6.