Similar triangles GHI and XHY are created from intersecting line segments GX and IY. *The length of line GH is 6.8 units. *The length of line IG is 3w + 2 units.
*The length of line HX is 17 units.
What is the length of line XY when w = 1.3 units?

step-by-step explanation:

in which figure is point g a centroid

, 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

step-by-step explanation: