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State True/False.

9th term of the AP 72,63,54,..... is 0.

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False

True

answer is A.

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Detailed Solution

Given AP is 72, 63, 54,...
So, first term a =72.
Common difference,

d = 63 − 72 d = − 9

Let the nth term of the given AP is 0.

∴ a n = 0

Formula used for nth term of A.P.:

a n = a + n − 1 d

⇒ 72 + (n − 1) × (− 9) = 0 ⇒ − 9 n + 81 = 0 ⇒ n = 819 ⇒ n = 9

Therefore, the 9th term of the given AP is 0.
Thus, the given statement is true.
Hence, option (1) is correct.

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