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Byju's Answer
Standard X
Mathematics
nth Term of an AP
In the arithm...
Question
In the arithmetic progression __ , 3, -1, -5, the missing term is
.
A
7
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B
1
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C
-7
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D
-1
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Solution
The correct options are
A
7
D
-1
The
n
t
h
term of an AP with the first term a and the common difference d is given by
a
n
=
a
+
(
n
−
1
)
d
.
We know that,
a
2
=
3
and
a
3
=
−
1
So, 3 = a + d ...(i)
and -1 = a + 2d ...(ii)
Subtracting equation (ii) from (i), we get,
4 = -d
d = -4
Hence, the missing term is
a
1
=
a
2
−
d
=
3
−
d
=
3
−
(
−
4
)
=
7
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