Question

Which term of the progression $250,240,230$ ....... is the first negative term?

Answer 1

Given

$250,240,\mathrm{230........}$

$a=250andd=-10$

$a_n=a(n-1)d$

$-10=250+(n-1)-10$

$-10=250-10n+10$

$-10=260-10n$

$10+260=10n$

$\Rightarrow n=27$

$\therefore$ ${27}^{th}$ term is the negative term.