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Byju's Answer
Standard VI
Mathematics
Closure Property
Why are the v...
Question
Why are the value of (a)
0
= 1?
Why is not value of (a)
0
is 2,3 or any real number?
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Solution
Answer :
We know : ( Anything )
0
= 1
In case of a
0
, we can write it , As :
a
0
= a
1 - 1
= a
1
×
a
- 1
=
a
a
= 1
So,
Value of a
0
is always 1 not 2 , 3 or any other real number .
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0
Similar questions
Q.
Consider
(
1
+
x
+
x
2
)
2
n
=
4
n
∑
r
=
0
a
r
x
r
, where
a
0
,
a
1
,
a
2
.
.
.
.
.
.
a
4
n
are real numbers and n is a positive integer
The value of
a
4
n
−
1
is
Q.
Consider
(
1
+
x
+
x
2
)
2
n
=
4
n
∑
r
=
0
a
r
x
r
, where
a
0
,
a
1
,
a
2
,
.
.
.
,
a
4
n
are real numbers and
n
is a positive integer. The value of
a
2
is
Q.
Let
(
1
+
x
2
)
2
(
1
+
x
)
n
=
A
0
+
A
1
x
+
A
2
x
2
+
.
.
.
.
.
.
.
.
.
.
.
.
.
.
I
f
A
0
,
A
1
,
A
2
are in A.P., then the value of n is
Q.
Let
(
1
+
x
2
)
2
(
1
+
x
)
n
=
A
0
+
A
1
x
+
A
2
X
2
+
⋅
⋅
⋅
If
A
0
,
A
1
,
A
2
are in A.P. then the value of n is
Q.
Consider
(
1
+
x
+
x
2
)
2
n
=
4
n
∑
r
=
0
a
r
x
r
, where
a
0
,
a
1
,
a
2
.
.
.
.
.
.
a
4
n
are real numbers and
n
is a positive integer
The value of
n
−
1
∑
r
=
0
a
2
r
is
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