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In a square, one can connect the midpoints of adjacent sides to form second square.

One can then connect the midpoints of adjacent sides of the second square to form a third square

and continue in the same manner to form more squares successively.

Suppose the area of the initial square is 1 square unit,

and consider the sequence of areas of the squares formed in this way.

Do these areas form a geometric sequence? . Yes!

If they do, what are the first term and common ratio of the geometric sequence?

If they do not, what sort of sequence do they form?