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JEE Main Math Class 11 Sequences and Series Part 1 Questions
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© examsnet.com
Question : 65
Total: 100
If 100 times the
100
th
term of an AP with non zero common difference equals the 50 times its
50
th
term, then the
150
th
term of this AP is:
[2012]
-150
150 times its
50
th
term
150
Zero
Validate
Solution:
Let '
′
a
′
is the first term and 'd ' is the common difference
o
f
a
n
A
.
P
.
Now, According to the question
100
a
100
=
50
a
50
100
(
a
+
99
d
)
=
50
(
a
+
49
d
)
⇒
2
a
+
198
d
=
a
+
49
d
⇒
a
+
149
d
=
0
Hence,
T
150
=
a
+
149
d
=
0
© examsnet.com
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