Question

find the next in the series 0, 15, 80, 255, _?

Answer 1

Answer:

Ans 25^2 -1 i.e 624

Step-by-step explanation:

1^2-1= 0

4^2-1= 15

9^2-1= 80

16^2-1= 255

25^-1= 624

hope you understand it.

good night and sweet dreams

Answer 2

The next numbers in the series are 624, 1295

GIVEN:-

$0, 15, 80, 255, _?$

TO FIND:- next in the series given

SOLUTION:-

In mathematics, a series is a chain of numbers that follow a specific pattern.

Each element in a series is called a term.

The pattern which the series, 0, 15, 80, 255, _ is following is.

• The Perfect Squares of first natural numbers are squared and then subtracted by 1.
• Perfect numbers are integers that are the square of an integer.
• The first five perfect squares are 1, 4, 9, 16, 25, 36,

${1}^{2} - 1 = 1 - 1 = 0 \\ {4}^{2} - 1 = 16 - 1 = 15 \\ {9}^{2} - 1 = 81 - 1 = 80 \\ {16}^{2} - 1 = 256 - 1 = 255 \\ {25}^{2} - 1 = 625 - 1 = 624 \\ {36}^{2} - 1 = 1296 - 1 = 1295$

Therefore,

${25}^{2} - 1 = 625 - 1 = 624 \\ {36}^{2} - 1 = 1296 - 1 = 1295$

Hence, the next numbers in the series are 624, 1295

#SPJ2