Find a plausible formula for the general term of the given...

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Sequence

A sequence is an ordered list of numbers or objects where each element in the sequence occupies a specific position. The study of sequences involves identifying the pattern or rule that defines the relationship between successive elements.

Arithmetic Sequence

An arithmetic sequence is a type of sequence in which the difference between consecutive terms is constant. This predictable pattern, where each number is derived by adding a fixed value to the preceding number, is one of the simplest forms of sequences.

Common Difference

The common difference is the constant amount by which each term in an arithmetic sequence is incremented or decremented relative to its predecessor. It is a crucial element for defining the sequence and for calculating any term within the sequence.

General Term Formula

The general term formula provides an expression that defines any term in a sequence based on its position (n). In the context of an arithmetic sequence, this formula is typically expressed as a + (n - 1)d, where 'a' is the first term and 'd' is the common difference.

Transcript

Please give Ace some feedback