If a1,a2,a3....,a15 are in ap and a1+a8+a15=15,then a2+a3+a8+a13+a14
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a
1
+a
15
=a
8
a
1
,a
2
,a
3
,...…,a
8
,a
14
,a
15
a
1
+a
8
+a
15
=15
2
a
1
+a
15
=
2
a
2
+a
14
⇒3a
8
=15 =
2
a
3
+a
13
=a
8
⇒a
8
=5
a
2
+a
3
+a
8
+a
13
+a
14
(a
2
+a
14
)+(a
3
+a
13
)+a
8
=2a
8
+2a
8
+a
8
=5a
8
=5(5)
=25.
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