Arithmetic & Geometric Sequence 3rd

Front

What is a common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term in a geometric sequence is multiplied to get the next term.

Front

How do you find the common ratio if the first term is -2 and the second term is -4?

Back

The common ratio is -4 / -2 = 2.

Front

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

Back

The nth term can be expressed as aₙ = a₁ * r^(n-1), where a₁ is the first term and r is the common ratio.

Front

What is the difference in an arithmetic sequence?

Back

The difference is the constant amount added to each term to get the next term.

Front

How do you find the explicit formula for the arithmetic sequence 8, 14, 20, 26?

Back

The explicit formula is aₙ = 6n + 2.

Front

What is the first term of the geometric sequence 10, 20, 40, 80?

Back

The first term is 10.

Front

If the 5th term of a geometric sequence is 243 and the first term is 3, what is the common ratio?

Back

The common ratio is 3.

Front

What is the explicit formula for the geometric sequence 10, 20, 40, 80?

Back

The explicit formula is aₙ = 10(2)^(n-1).

Front

What is an arithmetic sequence?

Back

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

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.