Question

Which term of AP .163,160,167...is the negative term

Answer 1

a=163
d=160-163=-3
$a_{n}$<0
a+(n-1)d<0
163+(n-1)-3<0
163-3n+3<0
166-3n<0
166<3n
$\frac{166}{3}$<n
55$\frac{1}{3}$<n
Therefore,56th term is the first negative term