Question

let n be the sum of first m natural no. . if n=450 , find m

Answer 1

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→let n be the sum of first m natural no. . if n=450 , find m

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⇒Given:

• Sum of Numbers = 450

⇒To Find:

• Value of m

⇒Solution:

⇒$S_m=\frac{m(m+1)}{2}$

⇒$450=\frac{m^2+m}{2}$

⇒$900=m^2+m$

⇒$m^2+m-900=0$

Now the roots we will get will not be natural

So there is No Natural Value of M here

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Formulas Used :-

• Sum of first n natural number:-
• $\frac{n(n+1)}{2}$

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