Which term of the AP 72, 68, 64, 60,... is 0?

Question:

Which term of the AP 72, 68, 64, 60,... is 0?

Solution:

In the given AP, first term, a = 72 and common difference, d = (68 - 72) = -4.
Let its nth term be 0.
Then, Tn = 0  
⇒ a + (n - 1)d = 0
⇒ 72 + (- 1) ⨯ (-4) = 0
⇒ 76 - 4n = 0
⇒ 4n = 76
⇒ n = 19
Hence, the 19th term of the given AP is 0.

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Darrell Jaynes
Feb. 18, 2023, 11:24 a.m.
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