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Test Index
Sequences and Series Part 1
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Section:
Mathematics
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© examsnet.com
Question : 25
Total: 100
Five numbers are in A.P., whose sum is 25 and product is 2520. If one of these five numbers is
−
1
2
, then the greatest number amongst them is :
[7-Jan-2020 Shift 1]
21
2
27
16
7
Validate
Solution:
Sol. Let the A.P is a – 2d, a – d, a, a + d, a + 2d
∵ sum = 25 ⇒ a = 5
Product = 2520
(
25
−
4
d
2
)
(
25
−
d
2
)
=
504
4
d
4
−
125
d
2
+
121
=
0
⇒
d
2
=
1
,
121
4
⇒
d
=
±
1
,
±
11
2
d
=
±
1
is rejected because none of the term can be
−
1
2
⇒
d
=
±
11
2
⇒ AP will be
−
6
,
−
1
2
,
5
,
21
2
,
16
Largest term is 16.
© examsnet.com
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