Answer:
And assuming that the first term of the sequence is 1, [tex]a_1 =2[/tex], we can find the next values like this:
[tex] a_2 = 3a_1 -1 = 3*2 -1 =5[/tex]
[tex]a_3 = 3*a_2 -1 = 3*5 -1 =14[/tex]
[tex]a_4 = 3*a_3 -1 = 3*14 -1 =41[/tex]
[tex]a_5 = 3*a_4 -1 = 3*41 -1 =122[/tex]
So then the sequence is given by: 2,5,14,41,122,... and the correct answet would be:
A. 2, 5, 14, 41, 122...
Step-by-step explanation:
For this case we have a sequence defined by the following expression:
[tex] a_{n+1}= 3 a_n -1[/tex]
And assuming that the first term of the sequence is 1, [tex]a_1 =2[/tex], we can find the next values like this:
[tex] a_2 = 3a_1 -1 = 3*2 -1 =5[/tex]
[tex]a_3 = 3*a_2 -1 = 3*5 -1 =14[/tex]
[tex]a_4 = 3*a_3 -1 = 3*14 -1 =41[/tex]
[tex]a_5 = 3*a_4 -1 = 3*41 -1 =122[/tex]
So then the sequence is given by: 2,5,14,41,122,... and the correct answet would be:
A. 2, 5, 14, 41, 122...
