1. Defining and Using Sequences and Series
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Substitute values for n=1, 2, 3, 4, 5, and 6 to find the first 6 terms.
1/2, 2/3, 3/4, 4/5, 5/6, and 6/7
a_n= n/n+1 To do so we will construct a table.
n | a_n= n/n+1 | a_n |
---|---|---|
1 | a_1=1/1+1 | 1/2 |
2 | a_2=2/2+1 | 2/3 |
3 | a_3=3/3+1 | 3/4 |
4 | a_4=4/4+1 | 4/5 |
5 | a_5=5/5+1 | 5/6 |
6 | a_6=6/6+1 | 6/7 |
The first 6 terms of this explicit sequence are 12, 23, 34, 45, 56, and 67.