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tmua.me Medium Set D Paper 2 · Q9

Paper 2Sequences & series

A sequence is defined by

u1=1,un+1=2un+n(n≥1).u_1=1,\qquad u_{n+1}=2u_n+n\quad(n\geq1).

It is given that u11=3060u_{11}=3060.

What is the value of u1+u2+⋯+u10u_1+u_2+\cdots+u_{10}?

A15021502
B29932993
C30053005
D30043004
E30593059

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