Arithmetic Sequences (Explicit and Recursive)

Front

Identify the common difference in the sequence: -6, -3, 0, 3, 6.

Back

The common difference is 3.

Front

Given a1 = 5 and d = 2, find a6.

Back

a6 = 15.

Front

What is the 15th term of the sequence an = -3n + 50?

Back

The 15th term is 5.

Front

What does a1 represent in an arithmetic sequence?

Back

a1 represents the first term.

Front

Which of the following equations is explicit? f(n) = 4n + 5 or f(n) = f(n-1) x 5?

Back

f(n) = 4n + 5 is explicit.

Front

Define an arithmetic sequence.

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The nth term is given by an = a1 + (n-1)d.

Front

What does 'd' represent in an arithmetic sequence?

Back

'd' represents the common difference between consecutive terms.

Front

If a1 = 10 and d = -2, what is a4?

Back

a4 = 10 + (4-1)(-2) = 4.

Front

How do you find the sum of the first n terms of an arithmetic sequence?

Back

The sum is given by S_n = n/2 * (a1 + an).