Question

PLEASE give a proper ans other wise i will spam it??​

Answer 1

Question:-

If $\frac{ 1 + 2 + 3 + 4 + ....... upto \: n \: term}{ 1.2 + 2.3 + 3.4 + ..... upto \: n \: term} = 0.03$

to find n

Answer:-

$\frac{ 1 + 2 + 3 + 4 + ....... upto \: n \: term}{ 1.2 + 2.3 + 3.4 + ..... upto \: n \: term} = 0.03$

⇒ ∑n / ∑n ( n+1 ) = 0.03

⇒ $\frac{\frac{n(n+1)}{2} }{\frac{n(n+1)(2n+1)}{6} + \frac{n(n+1)}{2} } = 0.03$

⇒ $\frac{1}{\frac{2n + 1}{3} + 1} = 0.03$

⇒ $\frac{1}{2n + 4 } = 0.01$

⇒ $2n+4 = 100$

⇒ $2n = 100 - 4 = 96$

⇒ $n = 46$

hence the value of n = 46

thank you.......