If the sum of the first 10 terms of the series \frac{4.1}{1+4.1^4}+\frac{4.2}{1+4.2^4}+\frac{4.3}{1+4.3^4}+. . . .. is \frac{m}{n}, where {\gcd}(m, n), then m+n is equal to \_\_\_\_\_ . [2 Apr 2025 Shift 2]

JEE Main 2 Apr 2025 Shift 2 Paper

Numerical Value Type Questions: This section contains 5 Numerical based questions. The answer to each question should be rounded-off to the nearest integer.

Section: Mathematics

Question : 21 of 75

Marks: +1, -0

If the sum of the first 10 terms of the series ‌

4.1

1+4.14

+‌

4.2

1+4.24

+‌

4.3

1+4.34

+..... is ‌

,‌‌ where gcd(m,n), then m+n is equal to _____ .

[2 Apr 2025 Shift 2]

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