Unit 1 Math 1 Review

Front

What is a geometric sequence?

Back

A sequence where each term is obtained by multiplying a constant ratio to the previous term.

Front

Which of the following sequences is a geometric sequence? 2, 4, 8, 16, 32; 3, 6, 9, 12, 15; 1, 3, 6, 10, 15; 5, 10, 15, 20, 25

Back

2, 4, 8, 16, 32

Front

What is the formula for the nth term of the geometric sequence 2, 4, 8, 16, 32?

Back

f(n) = 2 ⋅ 2^(n-1)

Front

What type of equation is f(n) = 2 ⋅ 3^n?

Back

Geometric Explicit

Front

What type of equation is f(n) = 2(n-1) + 5?

Back

Explicit Arithmetic

Front

What is the common ratio in the geometric sequence 3, 6, 12, 24?

Back

The common ratio is 2.

Front

How do you find the nth term of a geometric sequence?

Back

Use the formula f(n) = a ⋅ r^(n-1), where a is the first term and r is the common ratio.

Front

What is the difference between arithmetic and geometric sequences?

Back

In arithmetic sequences, each term is obtained by adding a constant difference; in geometric sequences, each term is obtained by multiplying by a constant ratio.

Front

If the first term of a geometric sequence is 5 and the common ratio is 3, what is the 4th term?

Back

The 4th term is 5 ⋅ 3^(4-1) = 5 ⋅ 27 = 135.

Front

What is the recursive formula for the geometric sequence 1, 2, 4, 8?

Back

f(n) = f(n-1) ⋅ 2, with f(1) = 1.