Question

How to solve 9,28,126,344,__1332

Answer 1

Answer:

Step-by-step explanation:

Here's the answer you were looking for :)

In my opinion the answer is 700

in 126 6-2=4, 6-2=4, and 2+1=3   so 344

in 344  4-4=0,   4-4=0,       and 4+3=7

Hope this answer helps you!!!!!!!

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Answer 2

Step-by-step explanation:

Given:

$9,28,126,344,?$

To find:

The next number in the series $9,28,126,344,?$

Solution:

$9,28,126,344$

The given series continues according to the following logic,

⇒ $Logic=(Prime$ $number)^3+1$

Prime numbers up to $100:$  

$2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,71,73,79,83,89,97.$

Here the starting number is $9$ and this can be represented as follows,

⇒ $(2)^3+1=8+1=9$

In the given series the second term is $28$ and it can be represented as follows,

⇒ $(3)^3+1=27+1=28$

Now the third term is $126$ and it can be represented as follows,

⇒ $(5)^3+1=125+6=126$

Now the fourth term is $344$ and it can be represented as follows,

⇒ $(7)^3+1=343+1=344$

Here we want to find the fifth term in the series. From the above, we can see that the prime number is increased by order wisely.

Therefore cube the prime number $11$ and add it by $1.$  

⇒ $(121)^3+1=1331+1=1332$

Hence the next number in the series is $1332.$

$9,28,126,344,1332$

This series goes like this.

Answer:

The next number in the series $9,28,126,344$ is $1332.$