Mathematics
Which term of the A.P. 18, 15, 12, ………… is the first negative term ?
6th
8th
7th
5th
AP GP
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Answer
A.P. = 18, 15, 12, …………
Common difference (d) = 15 - 18 = -3
First term (a) = 18
Let nth term be the first negative term.
⇒ an < 0
⇒ a + (n - 1)d < 0
⇒ 18 + (n - 1)(-3) < 0
⇒ 18 - 3n + 3 < 0
⇒ 21 - 3n < 0
⇒ 3n > 21
⇒ n >
⇒ n > 7
⇒ n = 8.
Hence, Option 2 is the correct option.
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