Please note that if you mult. 243 by 2/3, you get 162.
If you mult. 162 by 2/3, you get 108.
If you mult. 108 by 2/3, you get 72.
We can then safely conclude that the common ratio is 2/3.
Our last given set member was 72.
Mult. this by 2/3 to get the 5th member: 48.
Mult. this 48 by 2/3 to get the 6th member: 32.
Mult. this 32 by 2/3 to get the 7th and last desired member: 21 1/3
X, x+2 - two consecutive odd or even numbers
Add the reciprocals of these numbers.

Now add the squares of the numerator and denominator, as in the example.

So this number has to be a perfect square.

It is a perfect square, so this method always works.
The numbers

are a Pythagorean triple for any

.
9514 1404 393
Answer:
x = 6
PM = 50
MQ = 50
PQ = 100
Step-by-step explanation:
The two halves of the segment are the same length:
PM = MQ
7x +8 = 5x +20
2x = 12 . . . . . . . . . subtract 5x+8
x = 6 . . . . . . . . . . . divide by 2
PM = 7(6)+8 = 42+8
PM = 50
MQ = 5(6) +20 = 30+20
MQ = 50
PQ = PM +MQ = 50 +50
PQ = 100
Do 400/8 = 50 then 50x10= 500. 500 is your answer.