Question

Which sequences could be described by the recursive definition a_(n+1)=3*a_(n)-1

Answer 1

Answer:

B. 2, 5, 8, 11, 14...

Step-by-step explanation:

Answer 2

Answer:

And assuming that the first term of the sequence is 1, $a_1 =2$, we can find the next values like this:

$a_2 = 3a_1 -1 = 3*2 -1 =5$

$a_3 = 3*a_2 -1 = 3*5 -1 =14$

$a_4 = 3*a_3 -1 = 3*14 -1 =41$

$a_5 = 3*a_4 -1 = 3*41 -1 =122$

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:

$a_{n+1}= 3 a_n -1$

And assuming that the first term of the sequence is 1, $a_1 =2$, we can find the next values like this:

$a_2 = 3a_1 -1 = 3*2 -1 =5$

$a_3 = 3*a_2 -1 = 3*5 -1 =14$

$a_4 = 3*a_3 -1 = 3*14 -1 =41$

$a_5 = 3*a_4 -1 = 3*41 -1 =122$

So then the sequence is given by: 2,5,14,41,122,... and the correct answet would be:

A. 2, 5, 14, 41, 122...