Sequences

A sequence is defined by

The first four terms of the sequence are

32, – 8, 2, – 0.5

Which one of the following can be used to describe this sequence?

Circle your answer.

Convergent Decreasing Increasing Periodic _

The terms, u_n, of a periodic sequence are defined by

State the period of the sequence.

The nth term of a sequence is u_n

The sequence is defined by

Find an expression, in terms of p, for u₂

It is given that u₃ 382

Show that p satisfies the equation

It is given that the sequence is a decreasing sequence.

Find the value of u₄ and the value of u₅

The limit of u_n as n tends to infinity is L

Write down an equation for L

Find the value of L

A periodic sequence is defined by

State the period of the sequence.

Circle your answer.

A sequence is defined by

Find ⁹⁵ u_n n1

Circle your answer.

Given u₁ 1, determine which one of the formulae below defines an increasing

Circle your answer.

State the period of this sequence.

Circle your answer.