Question

8. Sum of 1 to n natural numbers is 36, then find the value of n. ?​

Answer 1

$\huge{ \boxed{ \fcolorbox{cyan}{pink}{Answer}}}$

Important Formula :

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➩ Sum of first "n" natural number is given by formula given below !

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$\boxed{ \bold \red{ \leadsto \: S _{n} = \frac{n(n + 1)}{2} }}$

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Here,

$\bold \purple{ S _{n} = 36 }$

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Let's solve this question .-.

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$\boxed{ \bold \red{ \leadsto \: S _{n} = \frac{n(n + 1)}{2} }}$

$\bold \blue{ \leadsto \: 36 = \frac{n(n + 1)}{2} }$

$\bold \pink{ \leadsto \: 36 \times 2 = n(n + 1) }$

$\bold \green{ \leadsto \: n(n + 1) \: = 72 }$

$\bold \orange{ \leadsto \: n(n + 1) \: = 8 \times 9}$

$\boxed{\bold { : \implies \: n = 8 }}$

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$\boxed{ \fcolorbox{cyan}{black}{ \boxed{\bold \pink{ \boxed{ \fcolorbox{cyan}{orange}{ \boxed{\bold \purple{ Answer \implies \: n = 8 }}}}}}}}$