Which term of the AP 72, 63, 54 .......... will equal to 0?

8th term

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9th term

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10th term

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11th term

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Solution

The correct option is B: 9th term
Given the series as $72, 63, 54 \dots .$

$a = 72$ and $d = 63 - 72 = - 9$

Let $a_{n} = 0$

$a + (n - 1) d = 0$

$\Rightarrow 72 - 9 (n - 1) = 0$

$\Rightarrow 72 - 9 n + 9 = 0$

$\Rightarrow - 9 n = - 81$

$\Rightarrow n = \frac{- 81}{- 9} = 9$

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Similar questions

Which term of the AP 72, 63, 54,... is 0 ?
(a) 8th (b) 9th (c) 10th (d) 11th

The first term of an AP is 12 and the common difference is -2. Which term of the AP will be 0?

7^{t h}

11^{t h}

18^{t h}

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