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Mathematics
Mathematics
Problem
If the sum of the first 20 terms of the series
4.1
4
+
3.1
2
+
1
4
+
4.2
4
+
3.2
2
+
2
4
+
4.3
4
+
3.3
2
+
3
4
+
4.4
4
+
3.4
2
+
4
4
+
…
\frac{4.1}{4+3.1^2+1^4} + \frac{4.2}{4+3.2^2+2^4} + \frac{4.3}{4+3.3^2+3^4} + \frac{4.4}{4+3.4^2+4^4} + \dots
4
+
3.
1
2
+
1
4
4.1
+
4
+
3.
2
2
+
2
4
4.2
+
4
+
3.
3
2
+
3
4
4.3
+
4
+
3.
4
2
+
4
4
4.4
+
…
is
m
n
\frac{m}{n}
n
m
, where
m
m
m
and
n
n
n
are coprime, then
m
+
n
m+n
m
+
n
is equal to :-
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