Mathematics

The 24th term of the A.P. −1, 3, 7, 11, … is:

  1. 83

  2. 87

  3. 91

  4. 95

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Answer

The given Arithmetic Progression (A.P.) is

-1, 3, 7, 11,…..

a = -1

d = 3 - (-1) = 4

n = 24

We know that,

nth term of A.P. :

∴ Tn = a + (n - 1)d

⇒ T24 = -1 + (24 - 1)(4)

= -1 + (23)4

= -1 + 92

= 91.

Hence, option 3 is the correct option.

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