Question

Identify the next number in the series: 15, 225, 9, 81, 3, _____?

Answer 1

Answer:

9

Step-by-step explanation:

There are squares on these numbers , as 15square=225

9square=81

3square=9

Answer 2

The next number in the series: 15 , 225 , 9 , 81 , 3 , ___ is 9

Given :

The series 15 , 225 , 9 , 81 , 3 , ___

To find :

The next number in the series

Solution :

Step 1 of 3 :

Write down the given series

Here the given series is 15 , 225 , 9 , 81 , 3 , ___

Step 2 of 3 :

Find pattern of the series

15² = 225

9² = 81

So for natural number n

$\sf {(a_{2n - 1})}^{2} = a_{2n }$

Step 3 of 3 :

Find the next number of the series

5th term = a₅ = 3

Hence next number of the series

= 6th term of the series

= a₆

= a₅²

= 3²

= 9

∴ The next number in the series: 15, 225, 9, 81, 3, ___ is 9

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