JEE Main 20246 Apr, Evening shiftMathematicsMediumSequence and Series179× since 2002If S(x)=(1+x)+2(1+x)2+3(1+x)3+⋯+60(1+x)60,x≠0\mathrm{S}(x)=(1+x)+2(1+x)^2+3(1+x)^3+\cdots+60(1+x)^{60}, x \neq 0S(x)=(1+x)+2(1+x)2+3(1+x)3+⋯+60(1+x)60,x=0, and (60)2 S(60)=a(b)b+b(60)^2 \mathrm{~S}(60)=\mathrm{a}(\mathrm{b})^{\mathrm{b}}+\mathrm{b}(60)2 S(60)=a(b)b+b, where a,b∈Na, b \in Na,b∈N, then (a+b)(a+b)(a+b) equal to _________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
