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Question

If 7th term of AP is 7 times is equal to 11 times of 11thterm of AP the that 18th term is zero.

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Solution

Given 7th term of A.P is equal to 11 terms the 11th term of A.P.
Let 7th term of A.P=a+(n1)d
=a+(71)d
=a+6d
d- common difference
a- first term
11th term of A.P=a+(111)d
=a+10d
Given, 7(a+6d)=11(a+10d)
7a+42d=11a+110d
4a=68d
a=17d ………..(1)
18th term of A.P=a+(181)d
=a+17d [From (1)]
=17d+17d
=0.

1172776_1267858_ans_6b66b3f5e567441cb271eb71f69cd45f.jpeg

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