Arithmetic and Geometric Sequences Flashcards

Vocabulary flashcards covering arithmetic sequences, geometric sequences, and Gauss summation formulas.

Number of terms

The formula for finding the count of terms in a sequence, defined as $\frac{\text{last term} - \text{1st}}{\text{difference}} + 1$.

Arithmetic sequence (nth term)

The formula representing the nth term of an arithmetic sequence, given as $a_1 + (n-1)d$.

Gauss summation formula

The formula for finding the sum of terms in an arithmetic sequence, calculated as $\frac{\text{Number of terms}}{2}(\text{1st term} + \text{last term})$.

Geometric sequence (nth term)

The equation for finding the nth term of a geometric sequence, given as $a_n = a_1 \times r^{n-1}$.