INTRODUCING 5 - days-a-week problem solving session for Math Olympiad and ISI Entrance. Learn More

**Problem 1:** Define a sequence as:

Prove that this sequence has a finite limit as Also determine the limit.

(a) Show that the four points are concyclic. Find the centre of this circle, and denote it as

(b) Let Prove that are collinear.

(a) Each chair has a proper seat.

(b) The order, from left to right, of the girls seating is

(c) Between and there are at least three boys.

(d) Between and there are at least one boy and most four boys.

How many such arrangements are possible?

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.

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