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Byju's Answer
Standard XII
Mathematics
Sum of n Terms
The 31st te...
Question
The
31
s
t
term of the AP whose first two terms are respectively
−
2
and
−
7
is
A
−
152
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B
150
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C
148
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D
−
148
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Solution
The correct option is
A
−
152
Given,
a
1
=
−
2
,
a
2
=
−
7
⇒
d
=
a
2
−
a
1
=
−
7
−
(
−
2
)
=
−
7
+
2
=
−
5
Since,
a
n
=
a
+
(
n
−
1
)
d
⇒
a
31
=
a
+
30
d
=
−
2
+
30
(
−
5
)
=
−
152
∴
Option A is correct.
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