Posted by **albert** on Wednesday, May 11, 2011 at 6:58pm.

A sequence is defined by

un = 2×(−0.5)n + 3 (n = 1,2,3, . . .).

Choose the option that best describes the long-term behaviour of the

sequence.

Options

A un becomes arbitrarily small (that is, un → 0 as n→∞).

B un becomes arbitrarily large and negative (that is, un →−∞

as n→∞).

C un approaches 3 as n→∞ (that is, un → 3 as n→∞).

D un is unbounded and alternates in sign.

E un becomes arbitrarily large and positive (that is, un→∞

as n→∞).

F un approaches 2 as n→∞ (that is, un → 2 as n→∞).

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