The_nth_term_of_a_sequenceThe_nth_term_of_a_sequence.pptx

The_nth_term_of_a_sequence.pptx

1. The nth term of a sequence

2. Find the nth term of a sequence Objectives

3. A sequence is infinite if its domain is the set of positive integers without a last term, {1, 2 3, 4, 5, …}. The three dots show that the sequence goes on and on indefinitely.

4. A sequence is finite if its domain is the set of positive integers {1, 2 3, 4, 5, …, n} which has a last term, n. Each number in a sequence is called a term .

5. The general term of the sequence, describing all the terms of a sequence, is denoted as , read as “ a sub n ,” or the term of a sequence at a number n. T he terms in the sequence   are the first term second term third term fourth form and term or general term respectively

6. Examples

7. Find the nth term {3, 5, 7, 9, 11, …} Example 1

8. Find the first 3 terms   Example 2

9. Answer page 4 Quick Check 1.2 Seatwork