Foundation
Mathematics Foundation
nth term of AP
Question

Which term of the AP, 25, 20, 15, ..... is the first negative term ?

10th

7th

9th

8th

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Solution

Let Tn < 0. Then, 25 + (n – 1) × (– 5) < 0.

   30 < 5n ⇒ 5n > 30 ⇒ n > 6.

So, the required term is 7th.