Question

The next term in the series ..0, 1, 9, 36, 100, ____ ?​

Answer 1

Answer:

225 is the next number in this series.

Answer 2

The next term is 225.

Step-by-step explanation:

The given series is

0, 1, 9, 36, 100, ____

We need to find the next term.

$0^2=0$                        (Square)

$(0+1)^2=1$         (Add first two whole numbers in parenthesis, then Square)

$(0+1+2)^2=3^2=9$        (Add first three whole numbers in parenthesis, then Square)

$(0+1+2+3)^2=6^2=36$        (Add first four whole numbers in parenthesis, then Square)

$(0+1+2+3+4)^2=10^2=100$       (Add first five whole numbers in parenthesis, then Square)

Similarly, we need to add first 6 whole numbers in the parenthesis, then we have to find the square of parenthesis.

$(0+1+2+3+4+5)^2=15^2=225$

Therefore, the next term is 225.

#Learn more

Select the numbers from the given options for completing given series 5,50,45,450,445,?,4445

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