Question

9,54,135,252,____find the next number

Answer 1

Answer:

The next number is 405

Step-by-step explanation:

As per the series given in the question,

9 ,  54 , 135 , 252 , ____

Let the next  number be x.

Step 1: Find the difference of consecutive number.That is

( 54 - 9 ) = 45

( 135 - 54 ) =  81

( 252 - 135 ) = 117

Step 2: 45 , 81 , and 117  can be written as:

45 = 9×5 = 9×5

81 = 9×9 = 9×(5+4)

117 = 9×13 = 9×(9+4)

following above order next number is

9×(13+4) = 153

153 is the the consecutive difference of next number . That is

x-252 = 153

⇒x = 252+153

⇒x = 405

Hence, the next number is 405.