Question

3.If 3 term of A.P is 18 and the seventh term is 30 then the sixth term is
(i) 27
(ii) 12
(iii) 26
(iv) none of these
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Answer 1

Answer:

Let first term be a and d be common difference.

3rd term=a+(3-1)d=18

a+2d=18

a=18-2d. --------------(1)

Seventh term =a+(7-1)d=30

18-2d+6d=30. (using 1)

4d=12

d=3

a=18-2(3)=12

6th term=12+(6-1)3=12+15=27

Option (1) is correct.

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