Question

Find the Next number in the Series 5,25,61,113

Answer 1

Step-by-step explanation:

1^2+2^2=5

3^2+4^2=25

5^2+6^2=61

7^2+8^2=113

9^2+10^2=181

Answer 2

Given,

A series 5,25,61,113.

To Find,

The next number on that series.

Solution,

If We look at the series carefully we can see a pattern.

For the first number "5"

5=1+4=$1^{2}+2^{2}$.

For the second one,

25=9+16=$3^{2}+4^{2}$.

Similarly,

61=$5^{2} +6^{2}$

113=$7^{2} +8^{2}$.

So the next number must be = $9^{2} +10^{2}$.

which is equal to 181.

Hence, The next number on that given series is 181.