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  • Find the sum of n terms of the sequence given by an=2^n+3n , n belong to N

Find the sum of n terms of the sequence given by an=2^n+3n , n belong to N

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Solution:  Let Sn denote the sum to terms of the given sequence . Then,

S_n=T_1+T_2+............+T_n\ \Rightarrow S_n=(2^1+3 imes 1)+(2^2+3 imes 2)+(2^3+3 imes 3)+..........+(2^n+3 imes n) \ \Rightarrow S_n=(2^1+2^2+2^3+...........+2^n)+3(1+2+3+........+n)\ \Rightarrow S_n=2(2^n-1/2-1)+3(n/2)(1+n)=2(2^n-1)+3(n/2)(n+1)

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Deependra Verma

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