Pattern of the series is
4
2
2
3
6
15
45
So, next terms will be 45 × 3.5, 45 × 3.5 × 4,
45 × 3.5 × 4, 4.5
Do not calculate exact values. Just calculate approximate values because with increase in values next term will be far away from 2700
So, 45 × 3.5 is approx. 150
And, 150 × 4 is approx. – 600
600 × 4.5 is approx. × 2700
So, multiples of 4.5 is nth term which is 10th term.