Create an equation that matches the table

The equation that matches the table is

Explanation:

From the table, we can see that this is a geometric progression because the common difference in the y-term is

Thus, and

To determine the equation, let us substitute the values of r and a in the general form of geometric progression.

The general form of geometric progression is given by

Now, substituting we have,

Simplifying by adding the powers of similar terms, we get,

Writing it in terms of x, we get,

Thus, the equation that matches the given table is

step-by-step explanation:

wrgasadvauoyfaiua-00uhf

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.