KnowledgeBoat Logo

Mathematics

If the last term of A.P. 5, 3, 1, -1, …. is -41, then the A.P. consists of

  1. 46 terms

  2. 25 terms

  3. 24 terms

  4. 23 terms

AP GP

16 Likes

Answer

Here, a = 5, d = 3 - 5 = -2.

Let nth term be -41, so an = -41.

We know that

    an = a + (n - 1)d
∴ -41 = 5 + (n - 1) × (-2)
⇒ -41 = 5 - 2n + 2
⇒ 7 - 2n = -41
⇒ 2n = 7 + 41
⇒ 2n = 48
⇒ n = 24.

Hence, Option 3 is the correct option.

Answered By

7 Likes


Related Questions