Final Exam sem1

Front

What is a Fibonacci sequence?

Back

A Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. Example: 0, 1, 1, 2, 3, 5, 8, 13.

Front

What is the next number in the sequence: 1, 3, 5, 7, __?

Back

9

Front

Where was Fibonacci from?

Back

Fibonacci was from Italy.

Front

What is the pattern that generates Pascal's Triangle?

Back

The pattern is to add the numbers in pairs from the row above.

Front

If the PRESSURE of a gas decreases, what happens to the VOLUME of the gas?

Back

The VOLUME of the gas will increase.

Front

What is the formula for the nth Fibonacci number?

Back

F(n) = F(n-1) + F(n-2) with seed values F(0) = 0, F(1) = 1.

Front

What is Pascal's Triangle used for?

Back

Pascal's Triangle is used to find coefficients in binomial expansions and to calculate combinations.

Front

What is the relationship between pressure and volume in gases?

Back

According to Boyle's Law, pressure and volume are inversely related when temperature is constant.

Front

What is the first five numbers in the Fibonacci sequence?

Back

0, 1, 1, 2, 3.

Front

What is the significance of the Golden Ratio in relation to the Fibonacci sequence?

Back

The ratio of successive Fibonacci numbers approaches the Golden Ratio (approximately 1.618) as the numbers increase.