Suppose triangle abc will be dilated using the rule . what will be the distance from the center of dilation, q, to the image of vertex a? 2 units 3 units 4 units 6 units

4

Step-by-step explanation:

The rule of dilation is This means that each distance QX' is equal to where X is initial point and X' is its image after dilation.

Since QA=6, then

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for