find the common difference of an AP whose first term is 1/2 and 8th term is 17/6 also find its 14th term
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Step-by-step explanation:
Given a=
2
1
a
8
=
6
17
now a
8
=a+7d
6
17
=
2
1
+7d
6
17
−
2
1
=7d
7d=
6
17−3
=
6
14
[d=
3
1
] where d is common difference
now a
4
=a+3d=
2
1
+3×
3
1
=1+
2
1
[a
4
=
2
3
]
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