Which of the following are progressions?

2 answers:

7 0

In mathematics: Arithmetic progression, sequence of numbers such that the difference of any two successive members of the sequence is a constant. Geometric progression, sequence of numbers such that the quotient of any two successive members of the sequence is a constant. so i chose b)Sequences

Marrrta [24]3 years ago

5 0

Answer:

b. Sequences

Step-by-step explanation:

The following are progressions:

b. Sequences

We have two sequences - arithmetic progression and geometric progression.

A sequence is an arithmetic sequence if the two consecutive numbers have a common difference.

A sequence is a geometric sequence, if the ratio of two consecutive numbers is common.

The sum of the terms of a sequence is called a series. So, in a rather informal way, this can also be considered.

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As you can see all the possible answers have the same form:

$g(x)=ax^2$

By looking at the picture you'll notice that the graph of g(x) has to pass through the point (2,1). Remember that the points in the graph of g(x) have the form (x,g(x)). Since (2,1) is part of the graph of g(x) then we have the following: