APPC SOS #5 Days 1-4 Practice

Front

What is an arithmetic sequence?

Back

A sequence of numbers in which the difference between consecutive terms is constant.

Front

What is a geometric sequence?

Back

A sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the common difference in the sequence 10, 20, 30, 40, ...?

Back

10

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is a divergent sequence?

Back

A set of numbers that don't approach a specific value.

Front

What is the explicit rule for the sequence 125, 25, 5, ...?

Back

y = 125(1/5)^(x)

Front

What is the formula for the nth term of a geometric sequence?

Back

The nth term can be found using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

What does it mean for a sequence to converge?

Back

A sequence converges if its terms approach a specific value as n increases.

Front

Identify the common ratio in the sequence 3, 9, 27, ...

Back

3

Front

What is the difference between a finite and an infinite sequence?

Back

A finite sequence has a limited number of terms, while an infinite sequence continues indefinitely.