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Byju's Answer
Standard VII
Mathematics
Types of Brackets
Prove: 12+2...
Question
Prove:
1
2
+
2
2
+
3
2
+
.
.
.
.
.
.
.
.
.
n
2
>
n
3
3
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Solution
Prove that
1
2
+
2
2
+
.
.
.
…
+
n
2
>
n
3
3
,
n
∈
N
Let
P
(
n
)
:
1
2
+
2
2
+
.
.
.
.
.
+
n
2
>
n
3
3
,
n
∈
N
For
n
=
1
L.H.S
=
1
2
=
1
R.H.S
=
1
3
3
=
1
3
since
1
>
1
3
L.H.S
>
R.H.S
∴
P
(
n
)
is true for
n
=
1
.
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0
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