A2 Lessons 1.1 to 1.4 Review

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference (d).

Front

How do you find the common difference (d) in an arithmetic sequence?

Back

To find the common difference (d), subtract any term from the subsequent term: d = a(n) - a(n-1).

Front

What is a geometric sequence?

Back

A geometric sequence is 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 (r).

Front

How do you find the common ratio (r) in a geometric sequence?

Back

To find the common ratio (r), divide any term by the previous term: r = a(n) / a(n-1).

Front

What is a recursive formula?

Back

A recursive formula defines the terms of a sequence using previous terms. It typically includes an initial condition and a rule for finding subsequent terms.

Front

What is an explicit formula?

Back

An explicit formula provides a direct way to calculate the nth term of a sequence without referring to previous terms.

Front

Given the sequence 5, 10, 15, 20, what is the common difference (d)?

Back

The common difference (d) is 5.

Front

Given the sequence 800, 560, 392, 274.4, what is the common ratio (r)?

Back

The common ratio (r) is 0.7.

Front

Write the explicit formula for the sequence where a_n = 7n - 4.

Back

The explicit formula is a_n = 7n - 4.

Front

What does it mean if a sequence is neither arithmetic nor geometric?

Back

If a sequence is neither arithmetic nor geometric, it does not have a constant difference or a constant ratio between its terms.