Question
Which term of the sequence is the first negative term?
Solution
The given sequence is an A.P. with a = 24,
Let the nth term of the given A.P. be the first negative term.
Then,
or 24 + (n - 1) or 96 - 3n + 3 < 0
or 99 - 3n < 0 or 3n > 99
or n > 33
Since 34 is the natural number just greater than 33.
∴ n = 34, Hence, 34th term of the given A.P. is the first negative term.