Chapter 12: Q1. (page 850)
A sequence is a function whose domain is ______.
A sequence is a function whose domain is all natural numbers.
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The nth partial sum of a sequence is the sum of the first ___ terms of the sequence. So, for the sequence an = n2 the fourth partial sum is S4 = ____ + ____ + ____ + ____ = ____.
Sigma Notation Write the sum without using sigma notation.
Terms of a Sequence Find the first four terms and the 100th term of the sequence whose nth term is given.
Terms of a Sequence Find the first four terms and the 100th term of the sequence whose nth term is given.
DISCOVER - PROVE: Different Sequences That Start the Same
(a) Show that the first four terms of the sequence defined by are
1,4,9,6…………..
(b) Show that the first four terms of the sequence defined byare also1,4,9,6…………..
(c) Find a sequence whose first six terms are the same as those ofbut whose succeeding terms differ from this sequence.
(d) Find two different sequences that begin 2,4,8,16…………..
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