Using the figure, the transformation shown is
o. reflection
o. rotation
o. translation

 Translation

Step-by-step explanation:

Definitions:

Reflection:- A reflection is a rigid transformation that create a mirror image of a the original figure across a line of reflection .

Rotation:-A rotation is a rigid transformation which rotates a the original figure by some degrees.

Translation:- A translation is a rigid transformation that maps every point of the original figure a fixed distance in a specific direction.

In the given figure , a trapezium is transformed to another trapezium such that there is no change in the size and orientation.

Also, the image and pre-image are not appearing as mirror images .

Each point of the image is moved fixed and equal distance in a particular direction .

⇒ The transformation is translation.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

here is the

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