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Sum of n Terms

If the 3rd ...

Question

If the $3 r d$ and the $9 t h$ terms of an AP are $4$ and $- 8$ respectively, which therm of this AP is zero?

A

5

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B

4

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C

6

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D

7

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Solution

The correct option is B 5
$- 8 = a + 8 d$
$4 = a + 2 d$
Or, $- 8 - 4 = 6 d$
Or, $- 12 = 6 d$
Or, $d = - 2$
Hence, $a = - 8 + 16 = 8$
$0 = 8 + (- 2) (n - 1)$
Or, $8 = 2 (n - 1)$
Or, $n - 1 = 4$
Or, $n = 5$

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