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Mathematics
Mathematics
Problem
10. Show that
a
1
,
a
2
,
…
,
a
n
,
…
a_{1}, a_{2}, \ldots, a_{n}, \ldots
a
1
,
a
2
,
…
,
a
n
,
…
form an
AP
\operatorname{AP}
AP
where
a
n
a_{n}
a
n
is defined as below : (i)
a
n
=
3
+
4
n
a_{n}=3+4 n
a
n
=
3
+
4
n
(ii)
a
n
=
9
−
5
n
a_{n}=9-5 n
a
n
=
9
−
5
n
Also find the sum of the first 15 terms in each case. (i)
a
n
=
3
+
4
n
a_{n}=3+4 n
a
n
=
3
+
4
n
(ii)
a
n
=
9
−
5
n
a_{n}=9-5 n
a
n
=
9
−
5
n
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