Question

11,15,51,87,312,348.......
 what is the next number???

Answer 1

Solution


11+(1+1)^2 = 11+2^2 = 11+4 = 15
15+(1+5)^2 = 15+6^2 = 15+36 = 51
51+(5+1)^2 = 51+6^2 = 51+36 = 87
87+(8+7)^2 = 87+15^2 = 87+225 = 312
312+(3+1+2)^2 = 312+6^2 = 312+36 = 348
Similarly
348+(3+4+8)^2 = 348+15^2 = 348+225 = 573

Answer 2

Answer:

The next number is 573 in the given series $11,15,51,87,312,348......$

Step-by-step explanation:

Given:

The series which is given is $11,15,51,87,312,348......$ .

To Solve :

The question is of the number series . Number series are groupings of numbers that are arranged in a specified pattern and in a particular sequence.In this part, we discuss topics that need a given set of numbers, known as the terms of the series. There is a consistent trend throughout the series for these numbers and phrases.

Here the series is according to following format:

$11+(1+1)^2 = 11+2^2 = 11+4 = 15\\15+(1+5)^2 = 15+6^2 = 15+36 = 51$

Similarly the next numbers will be there.

$51+(5+1)^2 = 51+6^2 = 51+36 = 87\\87+(8+7)^2 = 87+15^2 = 87+225 = 312\\312+(3+1+2)^2 = 312+6^2 = 312+36 = 348$

According to the above formats, We will calculate the next number of the given series.

$348+(3+4+8)^2 = 348+15^2 = 348+225 = 573$

Therefore, the next number is $573$ .

To know more about "Number series" .

https://brainly.in/question/11466716

https://brainly.in/question/13214451