Question

Which term of the sequence 114,109,104-------is the first negetive term

Answer 1

Answer:24

Step-by-step explanation:

Let first negative no. be ‘L’

=> L<0

=> a+(n-1)d < 0

=> 114 + (n-1)-5 < 0

=>(n-1)-5 < -114

Dividing both sides by -5

=> n-1 < -114/-5

=> n-1 < 22.8

=> n < 23.8

First negative term should be round off to 23.8 which is 24th.

=> first negative term is 24th term

Answer 2

a=144
d=-5
an=a+(n-1)d
144+(n-1)-5<0
144-5n+5<0
119-5n<0
119<5n
23.8<n
24 term is the first negative term