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tmua.me Medium Set B Paper 2 · Q2

Paper 2Sequences & seriesNumber & counting

A real sequence u1,u2,u3,…u_1,u_2,u_3,\ldots has the following property:

For every positive integer nn, if un>0u_n>0, then un+1>0u_{n+1}>0.

Which of the following is an equivalent way of stating this property? Each option applies to every positive integer nn.

AIf un+1>0u_{n+1}>0, then un>0u_n>0.
BIf un≤0u_n\leq0, then un+1≤0u_{n+1}\leq0.
CIf un+1≤0u_{n+1}\leq0, then un≤0u_n\leq0.
DIf un+1<0u_{n+1}<0, then un<0u_n<0.
EIf un>0u_n>0, then un+1≥0u_{n+1}\geq0.

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