Question

complite the sequence 24,6,18,9,36,9,24......

Answer 1

Hey there!

Given series :

24 , 6 , 18 , 9 , 36 , 9 , 24 ,...

We are required to find the next term.

Let's group the numbers into pairs

( 24 , 6 ) , ( 18 , 9 ) , ( 36 , 9 ) , ( 24 , _)

We see that,
24 ÷ 4 = 6
18 ÷ 2 = 9
36 ÷ 4 = 9

So, In first pair , first number divided by 4 to get second number.

In second pair, first number divided by 2 to get second number .

We can generalise that, For Even pair of the sequence from the beginning, we need to divide the first number in the pair by 2 to get second number.

For Odd pair of the sequence from the beginning, we need to divide the first number in the pair by 4 to get second number.



( 24 , _ ) is the fourth pair. We know that, For even pair , first number to be divided by 2

24 ÷ 2 = 12 ( Required number )

Therefore, The required sequence is 24,6,18,9,36,9,24, 12

Answer 2

Heya!

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24/6 = 4
18/9 = 2
36/9 = 4

Then 24/x = 2

=) x = 24/2

= 12

Hence complete sequence is 24,6,18,9,36,9,24,12.

Hope it helps uh!