Question

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

Answer 1

There is no negative term

Answer 2

$a=114 \\ d=109-114= -5 \\ first \: negative \: term \: is \\ a+(n-1)d <0 \\ 114+(n-1)-5 <0 \\ 114 - 5n + 5> 0 \\ 119 > 5n \\ n > 119 \div 5 \\ n \ > 53 \times \frac{4}{5} \\ n \: is \: 53rd \: term$hope this helps