Question

177,52,36,9,5? Missing number serries

Answer 1

Answer:

4

MARK AS BRAINLIEST ANS

Step-by-step explanation:

Diff between 177 and 52 is 125 i.e 5^3

Diff between 52 and 36 is 16 i.e 4^2

like wise at last it is 1^3 difference

So 5-1 = 4

Answer 2

Step-by-step explanation:

Given:

$177,52,36,9,5,?$

To find:

The missing number in the series $177,52,36,9,5,?$  

Solution:

$177,52,36,9,5,...$

Here the starting number is  and the next number is  We can start our answer from this.

Now subtract $177$ by $52,$      

⇒ $177-52=125$

Here the differences between the number $125$ can be represented as $5^3.$

Now subtract $52$ by $36,$

⇒ $52-36=16$

Here the differences between the number $16$ can be represented as $4^2.$

Now subtract $36$ by $9.$

⇒ $36-9=27$

Here the differences between the number $27$ can be represented as $3^3.$

Now subtract $9$ by $5,$ 

⇒ $9-5=4$

Here the differences between the number 4 can be represented as $2^2.$

From above, we can see that the representation of the number decreases from $5$ to $4,3,2$ like this and it keeps changing power like $3$ and $2.$  

From this, subtract $5$ by $4$ to get $1$ because the previous represented value is $2.$

⇒ $5-4=1$    

The number $1$ can be represented as $1^3$ because the previous represent value has power $2.$          

∴ The missing number is $4.$

Answer:  

Hence the missing number in the series $177,52,36,9,5,?$ is $4.$