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It is y. Every third letter is r, immediately followed by y, and since 117 is divisible by 3, it is r. Therefore, 118 is y.
For Geometric Progression #1 = a = 5 #2 = ar = x #3 = ar^2 = y #4 = ar^3 = 40 We need to find 'r' To do this ,divide #4 by #1 , hence ar^3 / a = 40 / 5 Hence r^3 = 8 (Notice the 'a' cancels down to leave 'r^3' Cube root both sides Hence r = 2 When r = 2 #2 = ar = 5 X 2 = 10 = x #3 = ar%2 - 5 x 2^2 = 5 x 4 = 20 = y So the geometric progression is 5,x,y,40 = 5,10,20,40
The Coeffecient of corelation is definitely independent of origina and scale. If r(x,y)= cof or cor b/w X and Y let W=aX+b and Z=cY+d then r(x,y)=r( W,Z) Note that adding or subtracting a constant in all values of a random variable changes its scale. While multiplication or division change scale. The Form W=aX+b, caters the change both in origin and scale.
w=x-y w+y=x
Writing W/Y, as a decimal requires information about W and Y.