examday

tmua.me papers

tmua.me Medium Set D Paper 1 · Q1

Paper 1Sequences & series

A sequence is defined by

un=n(34)n−1(n=1,2,3,…).u_n=n\left(\frac34\right)^{n-1}\qquad(n=1,2,3,\ldots).

You may use the relation

un+1un=3(n+1)4n.\frac{u_{n+1}}{u_n}=\frac{3(n+1)}{4n}.

For which values of nn does unu_n take its greatest value?

An=3n=3 only
Bn=4n=4 only
Cn=3n=3 and n=4n=4 only
Dn=4n=4 and n=5n=5 only
EThere is no greatest value

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 →