Consider the sequence: 8, 11, 14, 17, 20, 23, 26, The recursive definition is
<h3><u>Solution:</u></h3>
The given sequence is :- 8, 11, 14, 17, 20, 23, 26, .....
Second term is and so on
On analyzing the above series we can say
<em><u>Each time we want a new term, we add on 3 to previous term which is as follows:-
</u></em>
8 + 3 = 11
11 + 3 = 14
14 + 3 = 17
17 + 3 = 20
20 + 3 = 23
23 + 3 = 26
And so on
<em><u>This recursive step of adding on 3 to the prior term is written in the following general form:</u></em>
Let's check the above recursive definition by substituting n = 2 we should get 11
Thus the required recursive definition is found