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Byju's Answer
Standard X
Mathematics
Formula for Sum of n Terms of an AP
The sum of th...
Question
The sum of three numbers in AP is
3
and their product is
−
35
. Find the numbers.
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Solution
Let
a
−
d
,
a
,
a
+
d
are three numbers in AP.
Their sum
=
a
−
d
+
a
+
a
+
d
=
3
3
a
=
3
or
a
=
1
Again,
Their Product
=
(
a
−
d
)
×
a
×
(
a
+
d
)
=
−
35
a
(
a
2
−
d
2
)
=
−
35
(
1
2
−
d
2
)
=
−
35
or
d
=
±
6
d
=
6
or
d
=
−
6
We have
2
conditions here:
At
a
=
1
,
d
=
6
Numbers are:
−
5
,
1
and
7
At
a
=
1
and
d
=
−
6
Numbers are:
7
,
1
,
−
5
.
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