What are the next two numbers in the sequence 1, 4, 9, _, _?


Given:

The given sequence is 1, 4, 9, ....

To do:

We have to find the next two terms of the given sequence,

Solution:


We know that 1,4,9 are perfect squares.

1, 4, 9 can be written as,

$1=(1)^2$, $4=(2)^2$ and $9=(3)^2$

Therefore, the next two terms of the given sequence are $(4)^2=16$ and $(5)^2=25$.

The next two numbers in the sequence 1, 4, 9..... are 16 and 25.


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Updated on: 10-Oct-2022

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