Understanding Arithmetic Sequences

Front

Definition

Back

Sequence with a constant difference

Front

Common Difference

Back

Fixed number added to a term to get the next term

Front

Arithmetic Sequence Definition

Back

The nth term can be expressed as: a_n = a₁ + (n-1)d, where a₁ is the first term and d is the common difference.

Front

First Term (a₁)

Back

Initial term of the sequence

Front

Nth Term (a_n)

Back

Specific term in a sequence

Front

Sum Formula

Back

S_n = \frac{n}{2} (a_1 + a_n)

Front

Arithmetic Means

Back

Terms inserted between two non-consecutive terms of an arithmetic sequence.

Front

Increasing Sequence

Back

Positive common difference

Front

Decreasing Sequence

Back

Negative common difference

Front

Example

Back

2, 5, 8, 11, ...