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Which term of the AP 24, 21, 18, .............. is the first n

Question

Which term of the AP $24, 21, 18, ..............$ is the first negative term. ?

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Which term of the AP

24, 21, 18, ..............

is the first negative term. ?

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7 mins ago

Text solutionVerified

Since the series is divisible by 3,

∴

The first -ve term = -3

∴

ATP

a = 24

d = 21 - 24 = - 3

∴ T_{n} = a + (n - 1) d

\Rightarrow - 3 = 24 + (n - 1) (- 3)

\Rightarrow (n - 1) (3) = 27

\Rightarrow n - 1 = 9

∴ n = 10

(Ans: 10th term

\to

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Question Text	Which term of the AP $24, 21, 18, ..............$ is the first negative term. ?
Answer Type	Text solution:1
Upvotes	150