Question

Which term of the sequence $114,109,104.......$ is the first negative term

Answer 1

$114,109,\mathrm{104.....}$

$a=114d=-5$

We assume $0$ so the next term will be $-ve$

$a_n=a+(n-1)d0=114+(n-1)(-5)-114=-5n+5n=23.8\approx 24$

$\therefore$ when $n=24$ it will be the first $-ve$ term.