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List of top Mathematics Questions on Sum of First n Terms of an AP asked in JEE Advanced
For a positive integer n, let
f
n
(
θ
)
=
(
t
a
n
θ
2
)
(
1
+
s
e
c
θ
)
(
1
+
s
e
c
2
θ
)
(
1
+
s
e
c
2
2
θ
)
.
.
.
(
1
+
s
e
c
2
n
θ
)
,
t
h
e
n
f_n(\theta)=\Bigg(tan\frac{\theta}{2}\Bigg)(1+sec \theta)(1+sec 2\theta)(1+ sec 2^2 \theta)... (1+sec 2^n \theta), then
f
n
(
θ
)
=
(
t
an
2
θ
)
(
1
+
sec
θ
)
(
1
+
sec
2
θ
)
(
1
+
sec
2
2
θ
)
...
(
1
+
sec
2
n
θ
)
,
t
h
e
n
JEE Advanced - 1999
JEE Advanced
Mathematics
Sum of First n Terms of an AP
Sum of the first n terms of the series
1
2
+
3
4
+
7
8
+
15
16
+
.
.
.
\frac{1}{2} + \frac{3}{4} + \frac{7}{8} + \frac{15}{16} + ...
2
1
+
4
3
+
8
7
+
16
15
+
...
is equal to
JEE Advanced - 1988
JEE Advanced
Mathematics
Sum of First n Terms of an AP