*If 2nd and 7th term of an AP are 12 and -3 respectively, then which term of this AP is zero?*
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7
3
7
7
=
a+2d
a+6d
=
5
12
⇒5a+30d=12a+24d
⇒6d=7a
⇒d=
6
7a
⇒
7
4
7
13
=
a+3d
a+12d
=
a+3
6
7a
a+12
6
7a
7
4
7
13
=
6a+21a
6a+84a
=
27d
90d
=
3
10
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