Which term of the sequence 17, 161/5, 152/5, 143/5, ........... is the first negative term?
The first term is :
The second term is :
The third term is :
The fourth term is :
Hence the given series is an arithmetic progression.
We need to find the first negative term in the series.
Here,
nth term is:
Let nth term be negative.
We need to find such that:
Since n is a natural number, we need to take the lowest possible value of n such that n is greater than .
th term in the series would be negative.
Hence it is verified that 23rd term in the series turns negative.