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JEE Advanced 2022 Paper 1
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© examsnet.com
Question : 10
Total: 54
Let
a
1
,
a
2
,
a
3
,
.
.
.
be an arithmetic progression with
a
1
=
7
and common difference 8 . Let
T
1
,
T
2
,
T
3
,
.
.
.
be such that
T
1
=
3
and
T
n
+
1
−
T
n
=
a
n
for
n
≥
1
. Then, which of the following is/are TRUE ?
T
20
=
1604
20
∑
k
=
1
T
k
=
10510
T
30
=
3454
30
∑
k
=
1
T
k
=
35610
Validate
Solution:
a
1
=
7
,
d
=
8
T
n
+
1
−
T
n
=
a
n
∀
n
≥
1
S
n
=
T
1
+
T
2
+
T
3
+
.
.
.
+
T
n
−
1
+
T
n
S
n
=
T
1
+
T
2
+
T
3
+
.
.
.
+
T
n
−
1
+
T
n
on subtraction
T
n
=
T
1
+
a
1
+
a
2
+
.
.
.
.
+
a
n
−
1
T
n
=
3
+
(
n
−
1
)
(
4
n
−
1
)
T
n
=
4
n
2
−
5
n
+
4
n
∑
k
=
1
T
k
=
4
∑
n
2
−
5
∑
n
+
4
n
T
20
=
1504
T
30
=
3454
30
∑
k
=
1
T
k
=
35615
20
∑
k
=
1
T
k
=
10510
© examsnet.com
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