Question

3,4,5,5,12,13,6,8,10,9,12,____ number series​

Answer 1

Answer is 15

3^2 + 4^2 = 5^2

5^2 + 12^2 = 13^2

6^2 + 8^2 = 10^2

9^2 + 12^2 = 15^2

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Answer 2

Answer:

15

Step-by-step explanation:

Here, we have to find a relation in the series,

we can say that

 $3^{2} + 4^{2} = 9 + 16 = 25$ ⇒ $5^{2}$

also, $5^{2} + 12^{2} = 25 + 144 = 169$ ⇒ $13^{2}$

similarly, $6^{2} + 8^{2} = 10^{2}$

Now for the number to continue the series,

$\sqrt{9^{2} + 12^{2}} = \sqrt{81 + 144}$

⇒ $\sqrt{225} = 15$

∴ the number to continue the series is 15

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