30,28,27.......find its first negative term
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Sia ? 5 years, 6 months ago
Here, the given A.P. is 30,28,27.......
a = 30
d = 28 - 30 = -2
The general term of A.P. is
an = a + (n - 1)d
Let nth term is negative,
a + (n - 1)d < 0
30 + (n - 1)(-2) < 0
30 - 2n + 2 < 0
32 < 2n
16 < n
Hence, the 17th term is first negative term.
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