geometric sequence

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.

Front

What is the common ratio in the geometric sequence 64, 16, 4?

Back

The common ratio is 1/4, as each term is obtained by multiplying the previous term by 1/4.

Front

Find the next three terms in the geometric sequence: 64, 16, 4,...

Back

1, ¼, 1/16.

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

If the first term of a geometric sequence is 3 and the common ratio is 2, what is the 5th term?

Back

The 5th term is 48.

Front

What is a perfect square?

Back

A perfect square is an integer that is the square of another integer.

Front

Which of the following is a perfect square: 32, 25, 22, 24?

Back

25 is a perfect square.

Front

What does 'm' represent in the equation y=mx+b?

Back

In the equation y=mx+b, 'm' represents the slope of the line.

Front

What does 'b' represent in the equation y=mx+b?

Back

In the equation y=mx+b, 'b' represents the y-intercept of the line.

Front

Is the relation represented by the set of points {(1,2), (2,3), (1,4)} a function?

Back

No, it is not a function because the input '1' corresponds to two different outputs (2 and 4).