How much smaller is the sum of the first 1000 natural numbers than the sum of the first 1001 natural numbers?

ANSWER

1001

EXPLANATION

The sum of the first n - natural numbers is

The sum of the first 1000 terms is

The sum of the first 1001 terms is

The difference is

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this