Mathematics

The last term of the A.P., 5, 12, 19, ….. having 60 terms is :

  1. 406

  2. 412

  3. 416

  4. 418

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Answer

Given,

A.P. : 5, 12, 19, …….

a = 5

d = 12 - 5 = 7

n = 60

We know that,

nth term of A.P. :

∴ Tn = a + (n - 1)d

⇒ T60 = 5 + (60 - 1)7

= 5 + (59) × 7

= 5 + 413

= 418.

Hence, option 4 is the correct option.

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