1. (,-13 points scac8 11 1 001 (a) What is a sequence? O A sequence is the produ

Question

1. (,-13 points scac8 11 1 001 (a) What is a sequence? O A sequence is the product of an ordered list of numbers. O A sequence is an ordered list of numbers. O A sequence is the sum of an unordered list of numbers. O A sequence is the sum of an ordered list of numbers. 0 A sequence is an unordered list of numbers. (b) what does it mean to say that lim n" an 8? O The terms an approach -infinity as 8 approaches n. O The terms an approach infinity as n become large. O The terms an approach 8 as n becomes small. O The terms an approach 8 as n becomes large. O The terms an approach infinity as 8 approaches n. (c) what does it mean to say that lim n o, an o? O The terms an become large as n becomes small. O The terms an become small as n becomes large. O The terms an approach zero as n becomes large. The terms an become small as n becomes small. O The terms an become large as n becomes large. Need Help? Read it IT Talk to a Tutor

Explanation / Answer

1. a). ii. b) iv. c) v.

2. Putting n=1,2,3,4,5 we get first five terms of the sequence as a1= -2/3, a2= 0, a3= -2/27, a4= 0, a5= -2/243...and so on.

3. Clearly the denominators of the series is an AP series with first term a=2 and common difference d=2. Therefore the general term an is given by the formula an=1/(2+(n-1).2) where n=1,2,3,4........i.e an= 1/2n , n=1,2,3,4...

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