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2 votes
1,5,25,61.....
What's following number? ​

User FalcoB
by
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1 Answer

2 votes

Given:

1,5,25,61.....

To find:

The following number.

Solution:

We can see a pattern in the given sequence.


(-1)^2+(0)^2=1+0=1


(1)^2+(2)^2=1+4=5


(3)^2+(4)^2=9+16=25


(5)^2+(6)^2=25+36=61

Using this pattern the next term is the sum of squares of 7 and 8.


(7)^2+(8)^2=49+64=113

Therefore, the next number is 113.

User Placeybordeaux
by
8.5k points

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