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Mathematics
Mathematics
Problem
If
k
k
k
arithmetic means are inserted between two numbers
a
a
a
and
b
(
a
<
b
)
b\,(a<b)
b
(
a
<
b
)
, the common difference
d
d
d
of the resulting arithmetic progression is a)
b
−
a
k
\dfrac{b-a}{k}
k
b
−
a
b)
b
+
a
k
+
1
\dfrac{b+a}{k+1}
k
+
1
b
+
a
c)
b
−
a
k
+
1
\dfrac{b-a}{k+1}
k
+
1
b
−
a
d)
b
−
a
k
+
2
\dfrac{b-a}{k+2}
k
+
2
b
−
a
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