Which term of the progression $20, 19 \frac{1}{4},18\frac{1}{2} ,17\frac{3}{4}$... is the first negative term
Arithmetic Progressions (10)Which term of the progression $20, 19 \frac{1}{4},18\frac{1}{2} ,17\frac{3}{4}$... is the first negative term?
Answer
Here d = $\frac{-3}{4}$
Let the nth term be first negative term
20(n - 1) $(\frac{-3}{4}\right)$
3n > 83
$$ n > 27\frac{2}{3} $$
Hence, 28th term is first negative term.
- Exam Year: 2017