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Which term of the AP 121, 117, 113,.... is its first negative

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Which term of the AP $121, 117, 113, ....$ is its first negative term?

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Which term of the AP

121, 117, 113, ....

is its first negative term?

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Text solutionVerified

Let nth of the AP

121, 117, 113, ....

is negative.

Let

T_{n}

be the nth term then

T_{n} < 0

Here,

a = 121, d = 117 - 121 = - 4

T_{n} = 121 + (n - 1) (- 4)

121 - 4 n + 4 < 0

125 - 44 < 0

125 < 4 n \Rightarrow 4 n > 125

n > \frac{125}{4} \Rightarrow n > 31 \frac{1}{4}

Therefore,

32

nd term will be the

1

st negative term.

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Question Text	Which term of the AP $121, 117, 113, ....$ is its first negative term?
Answer Type	Text solution:1
Upvotes	150