Which statement is not used to prove that ΔABC is similar to ΔADE? triangles ABC and ADE in which point E is between points A and C on segment AC and point D is between points A and B on segment AB, angle A is a right angle

AC is a transversal line passing ED and CB.

Angle A is congruent to itself, due to the reflexive property.

Segments ED and CB are parallel.

The sum of angles A and B are supplementary to angle C.

c

Step-by-step explanation:

I want to say option B: Angle A is congruent to itself, due to the reflexive property

, 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