AQR - Semester 1 Final Review

Front

What is the binary number 01101 in decimal form?

Back

13

Front

What are the first 4 terms in a geometric sequence with a first term of 6, and a common ratio of 4?

Back

6, 24, 96, 384

Front

What is the new population if the current population is 1000 and it decreases at a rate of 4.5%?

Back

955

Front

Fill in the blank: If a population decreases at a rate of 3.5%, the new population is calculated by multiplying the current population by ____.

Back

0.965

Front

Which of the following is a characteristic of rational numbers? A) They can be written as a fraction B) Their decimal representation never ends C) They cannot be written in decimal form D) They are always whole numbers

Back

A) They can be written as a fraction

Front

What is the formula for the sum of the first n terms of a geometric series?

Back

S_n = a(1 - r^n) / (1 - r) for r ≠ 1

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term is multiplied to get the next term.

Front

How do you convert a decimal to a binary number?

Back

Divide the decimal number by 2 and record the remainder. Repeat with the quotient until it is 0, then read the remainders in reverse.

Front

What is the definition of a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b ≠ 0.

Front

What is the formula to calculate percentage decrease?

Back

Percentage Decrease = (Original Value - New Value) / Original Value × 100%.