A sequence is defined by

Question

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→∞).

Answer 1

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