100,97,94,91,....the 20ᵗʰ term of this AP is..../ 100,97,94,91,....ಈ ಈ ಸಮಾಂತರ ಶ್ರೇಡಿಯ 20ನೇ ಪದ. *
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We have the A.P as 100, 97, 94, 91 …
So, a = 100
⇒ d= 97 – 100 = – 3
Now recall that, nth term of an AP is Tn = a + (n – 1)d
⇒ Tn = 100 + (n – 1)(– 3)
= 100 – 3n + 3
⇒ Tn = 103 – 3n
Since we need negative term, Tn < 0
So, 103 – 3n < 0
⇒ 103 < 3n
⇒
< n
⇒ 34.333 < n
⇒ n>34
i.e. N = 35
∴ n=35 for the first negative term in the given A.P.
⇒ T35 = a + (35 – 1)d
= 100 + 34 × – 3
= 100 – 102
= – 2
∴ the first negative term of the given AP is – 2.
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Answer:
100.97.94.is answer
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