1. The sides of a square 1 cm, have lines drawn between them connecting adjoining sides with their midpoints. This creates another square within the original and this process is continued indefinitely. (Given, Pythagoras theorem: Hypotenuse 2 = Perpendicular 2 + Base 2) a. Show the sequence of the sides for first 4 terms. [1] b. Show the sequence for the areas of the squares for first 4 terms. [1] c. Calculate the sum of the areas of the infinite squares.

for b its (t) and c its (d)

step-by-step explanation:

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the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b