Answer :

**Given:** d = - 4, n = 7 and a_{n} = 4

**To find:** The value of “a”.

**Formula Used:** nth term of an AP is:

a_{n =} a + (n - 1) d

**Explanation:**

As we know, nth term of an AP is

a_{n =} a + (n - 1) d

where a = first term

a_{n} is nth term

d is the common difference

4 = a + (7 - 1) (- 4 ) …..( Given Data )

4 = a - 24

a = 24 + 4 = 28

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