A boy plays with a ball and he drops it from a height of 1.5 m. Every time the ball hits the ground, it bounces back to attain a height 4/5^th of the previous height. The ball does not bounce further if the previous height is less than 50 cm. What is the number of times the ball hits the ground before the ball stops bouncing ?

In the series _b_a_ba_b_abab_aab;

fill in the six blanks ( _ ) using one of the following given four choices such that the series follows a specific order. 

Consider the following statements :

1. The sum of 5 consecutive integers can be 100.

2 The product of three consecutive natural numbers can be equal to their sum.

Which of the above statements is/are correct ? 

What is the value of ‘X’ in the sequence

2, 7, 22, 67, 202, X, 1822, ?