Mathematics

The 7th term of an A.P. is 4 and its common difference is −4. The first term of the A.P. is :

  1. 32

  2. 28

  3. 24

  4. 36

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Answer

Given,

a7 = 4

d = -4

n = 7

We know that,

⇒ an = a + (n - 1)d

⇒ a7 = a + (7 - 1)(-4)

⇒ 4 = a + (6)(-4)

⇒ 4 = a - 24

⇒ 24 + 4 = a

⇒ a = 28.

Hence, option 2 is the correct option.

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