Applying the recursive formulas, it is found that:
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First sequence:
The first sequence is given by:
[tex]a_n = a_{n-1} - 3[/tex]
The first term is [tex]a_1 = 3[/tex]. The next terms are:
[tex]a_2 = a_1 - 3 = 3 - 3 = 0[/tex]
[tex]a_3 = a_2 - 3 = 0 - 3 = -3[/tex]
[tex]a_4 = a_3 - 3 = -3 - 3 = -6[/tex]
The first four terms of the first sequence are: {3,0,-3,-6}.
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Second sequence:
The second sequence is given by:
[tex]a_n = a_{n-1} + 0.5[/tex]
The first term is [tex]a_1 = 2[/tex]. The next terms are:
[tex]a_2 = a_1 + 0.5 = 2 + 0.5 = 2.5[/tex]
[tex]a_3 = a_2 + 0.5 = 2.5 + 0.5 = 3[/tex]
[tex]a_4 = a_3 + 0.5 = 3 + 0.5 = 3.5[/tex]
The first four terms of the second sequence are: {2,2.5,3,3.5}.
A similar problem is given at https://brainly.com/question/21139856
Answer:
first one is (3,0,-3,-6
second one is (2,2.5,3,3.5)
Step-by-step explanation:
pdecofivh
