examday

tmua.me papers

tmua.me Medium Set B Paper 2 · Q7

Paper 2Sequences & series

A sequence is defined by

u1=1,un+1=3un+2(n≥1).u_1=1,\qquad u_{n+1}=3u_n+2\quad(n\geq1).

What is the value of

1u1+1+1u2+1+1u3+1+1u4+1+1u5+1 ?\frac1{u_1+1}+\frac1{u_2+1}+\frac1{u_3+1}+\frac1{u_4+1}+\frac1{u_5+1}\,?
A121486\dfrac{121}{486}
B121243\dfrac{121}{243}
C34\dfrac34
D242243\dfrac{242}{243}
E121162\dfrac{121}{162}

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.

Sign in to check your answerPractise the whole paper →