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Byju's Answer
Standard VI
Mathematics
Factors
Take any thre...
Question
Take any three consecutive odd numbers and find their product
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Solution
1
×
3
×
5
=
15
3
×
5
×
7
15
×
7
=
105
5
×
7
×
9
35
×
9
=
315
7
×
9
×
11
7
×
99
=
693
.
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Similar questions
Q.
(i) Take any three consecutive odd numbers and find their product; for example,
1
×
3
×
5
=
15
,
3
×
5
×
7
=
105
,
5
×
7
×
9
−
.
.
.
.
.
.
(ii) Take any three consecutive even numbers and add them, say,
2
+
4
+
6
=
12
,
4
+
6
+
8
=
18
,
6
+
8
+
10
=
24
,
8
+
10
+
12
=
30
and so on.
Is there any pattern you can guess in these sums? What can you conjecture about them?
Q.
Take any consecutive odd numbers and find the product as follows
1
×
3
×
5 = 15, 3
×
5
×
7 = 105 ..
5
×
7
×
9 = 315....... Find the conjecture for this pattern.
Q.
Product of two consecutive odd numbers is
575
. Find their
L
C
M
.
Q.
Product of three consecutive odd numbers is
1716
. What is the largest of the three numbers?
Q.
'Product of three consecutive odd number is even' Given statement is
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