Question

(a) What is a sequence? A sequence is the sum of an unordered list of numbers. A sequence is an ordered list of numbers. A sequence is the product of an ordered list of numbers. A sequence is the sum of an ordered list of numbers. A sequence is an unordered list of numbers. (b) What does it mean to say that lim n → ∞ an = 8? The terms an approach -infinity as 8 approaches n. The terms an approach infinity as n become large. The terms an approach 8 as n becomes small. The terms an approach infinity as 8 approaches n. The terms an approach 8 as n becomes large. (c) What does it mean to say that lim n → ∞ an = ∞? The terms an approach zero as n becomes large. The terms an become small as n becomes small. The terms an become large as n becomes small. The terms an become small as n becomes large. The terms an become large as n becomes large.

Answer 1

a) A sequence is an ordered list of numbers; b) The terms an approach 8 as n becomes large; c) The terms an become large as n becomes large.

Explanation:

A sequence is a pattern. This means it is an ordered list of numbers, letters, shapes or other objects.

lim n → ∞ an = 8 stands for "the limit as n approaches infinity of the terms of an is 8." This means that as n gets large, the limit of the terms approaches 8.

lim n → ∞ an = ∞ stands for "the limit as n approaches infinity of the terms of an is infinity." This means that as n gets large, the limit of the terms gets larger.