\text{ If } S(x)=(1+x)+2(1+x)^2+3(1+x)^3+. . . . +60(1+x)^{60}, x \neq 0, \text{ and }(60)^2 S(60)=a(b)^b+b where a, b \in N, then (a+b) equal to _______. [6 Apr 2024 Shift 2]

JEE Main 6 Apr 2024 Shift 2 Solved Paper

Section: Mathematics

Question : 23 of 90

Marks: +1, -0

‌‌ If ‌S(x)=(1+x)+2(1+x)2+3(1+x)3+....
‌+60(1+x)60,x≠0,‌ and ‌(60)2S(60)=a(b)b+b
where a,b∈N, then (a+b) equal to _______.

[6 Apr 2024 Shift 2]

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