InterviewSolution
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InterviewSolution
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If the 3rd and the `9^(t h)`terms of an AP are 4 and `- 8` respectively, which term of this AP is zero? |
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Answer» Let `a` is the starting term and `d` is the common difference. Here, we are given, `a_3 = 3=>a+(3-1)d = 4=>a+2d = 4->(1)` `a_9 = -8=>a+(9-1)d = -8=>a+8d = -8->(2)` Subtracting (1) from (2), `8d-2d = -8-4=>d = -2` Putting value of `d` in (1),`a-4 = 4=>a = 8` Let `n^(th)` term of this AP is `0`,then `8+(n-1)(-2) = 0` `n-1 = 4 =>n = 5` So, fifth term of this AP will be `0`. |
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