Fundamentals of Sequences and Formulas in Mathematics

1) What is a sequence?

A grouping of numbers that are not related in any way.

A list of numbers that start with the first term.

A series of numbers with no specific starting point.

A random collection of numbers without any pattern.

A sequence is a specific list of numbers that follow a distinct pattern starting with the first term. It is not a random collection, series with no specific starting point, or a grouping of unrelated numbers.

Explanation

A sequence is a specific list of numbers that follow a distinct pattern starting with the first term. It is not a random collection, series with no specific starting point, or a grouping of unrelated numbers.

2) What is arithmetic?

The process of writing computer code

The study of plants

The study of the Earth's atmosphere

Having to do with adding or subtracting.

Arithmetic specifically refers to mathematical operations involving addition and subtraction.

Explanation

Arithmetic specifically refers to mathematical operations involving addition and subtraction.

3) What does a recursive formula involve?

Finding a term using only the first term in the sequence.

Using the previous term to find a term.

Using a random number generator to determine the next term.

Ignoring all previous terms and starting from scratch.

A recursive formula relies on the relationship between consecutive terms in a sequence, where each term is defined using the previous term. This allows for a systematic way to generate the entire sequence.

Explanation

A recursive formula relies on the relationship between consecutive terms in a sequence, where each term is defined using the previous term. This allows for a systematic way to generate the entire sequence.