Question

1. a sequence that continues indefinitely is called ____. 2. a sequence that has a limited number of terms is called __. 3. the sum of the terms in a sequence is called a __. 4. in a ____ sequence, the formula for the nth term is $a_n = a_1 \times r^{(n - 1)}$.

Explanation:

These are definitions related to sequences. The formula $a_n = a_1 \times r^{(n-1)}$ is the standard nth term formula for a geometric sequence. A sequence with a limited number of terms is finite, one that continues indefinitely is infinite, and the sum of sequence terms is a series.

Answer:

1. geometric
2. series
3. finite sequence
4. infinite sequence