Question

Which term of the sequence 17, 81/5, 77/5, 73/5... is the first negative term?

Answer 1

Answer:

23

Step-by-step explanation:

Given  

Which term of the sequence 17, 81/5, 77/5, 73/5... is the first negative term?

Consider the sequence 17, 81/5 , 77/5 , 73/5

We know that a = 17 and common difference d = - 4/5

So a + (n – 1)d < 0

 17 + (n – 1) -4/5 < 0

 17 – 4 n / 5 + 4/5 < 0

 89 / 5 – 4 n / 5 < 0

Now 89 < 4n

Or n > 22

So the 23 rd term will be the first negative term.

Answer 2

Answer:

23 is the first negative term