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Question

Question 9
If the 3rd and the 9th terms of an A.P. are 4 and − 8 respectively. Which term of this A.P. is zero?

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Solution

Given that,a3=4a9=8We know that,an=a+(n1)da3=a+(31)d4=a+2d(i)a9=a+(91)d8=a+8d(ii)On subtracting equation (i) from (ii), we get,12=6dd=2From equation (i), we get,4=a+2(2)4=a4a=8Let nth term of this A.P. be zero.an=a+(n1)d0=8+(n1)(2)0=82n+22n=10n=5Hence, 5th term of this A.P. is 0.


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