If A is a square matrix of order 2 x 2 such that |A| = 27, then sum of the infinite series |A|+12A+14A+18A+… is equal to __________.
|A|+12A+14A+18A+…⇒ |A|+14|A|+116|A|+…⇒ |A|1−14=43|A|=36