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Byju's Answer
Standard XII
Mathematics
nth Term of A.P
Let A and G b...
Question
Let A and G be arithmetic and geometric means of two positive numbers a and b then A>G
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Solution
If a and b are two unequal positive number then
A
=
a
+
b
2
G
=
√
a
b
A
−
G
=
a
+
b
2
−
√
a
b
=
a
+
b
−
2
√
a
b
2
=
(
√
a
−
√
b
)
2
2
Since
(
√
a
−
√
b
)
2
always
+
v
e
A
−
G
>
0
A
>
G
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0
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nth Term of A.P
Standard XII Mathematics
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