(Q15).Find the sum of :

(iv)
1
15
,
1
12
,
1
10
,…, to 11 terms.

Given A.P:
1
15
,
1
12
,
1
10
,…, S11.
a =
1
; d = a2 - a1 =
1
-
1
=
-
=
; n =
Sn =
n
2
[2a + (n – 1)d]
S11 =
2
[2 ×
1
(-1) ×
1
]
=
2
[
+
]
=
2
[
× 2 + × 1
]
=
2
[
+
]
=
2
×
=
=