Please help!
The following is an isosceles trapezoid, find WX

WX=33

Step-by-step explanation:

Isosceles Trapezoid

The base angles of an isosceles trapezoid are congruent. The base angles of the trapezoid shown in the figure are P and Q, and S and R.

Midsegment Theorem: The length of the midsegment of a trapezoid is the average of the lengths of the bases.

Being W and X the midsegments of PS and QR respectively, then WX is the midsegment of PQ and SR, thus

WX=33

, 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