The 7th term of an AP is 4 and its common difference is −4.

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Question:
The 7th term of an AP is 4 and its common difference is −4. What is its first term?
(a) 16
(b) 20
(c) 24
(d) 28

Solution:

(d) 28

T7 = a + 6d
⇒ a + 6 ⨯ (-4) = 4
⇒ a = 4 + 24 = 28
Hence, the first term is 28.