Question

an ap consists of 114,109,104 ......find first negative term

Answer 1

The given sequence is 114,109,104......
The given sequence is an AP with a = 114 , d = -5
let, nth term be the first negative term of the given sequence .
$an < 0 \\ = 114 + (n - 1) \times ( - 5) < 0 \\ = - 5n + 119 < 0 \\ = - 5n < - 119 \\ = > 119 \div 5 =23.8 \\ since \: 24 \: is \: the \: natural \: number \: just \: graeter \: than \: 23.8 \: so \: n = 24 \\ thus \: 24th \: term \: is \: the \: first \: negative \: term \: of \: the \: given \: sequence$