Question

Generate the first five terms in the sequence using the explicit formula.

cn = 12n-11
A.) 49, 37, 25, 13, 1
B.) -1, -13, -25, -37, -49
C.) 1, 13, 25, 37, 49
D.) -49, -37, -25, -13, -1

Answer 1

The answer is C. This is because 12*1 - 11 = 1 and the only sequence that starts with 1 is C.

Answer 2

The sequence is C.) 1, 13, 25, 37, 49.

Explanation:

Given :
`C_(n)` = 12n-11.

To find : Generate the first five terms in the sequence using the explicit formula.

Solution : We have given that
`C_(n)` = 12n-11.

For n = 1 ,

`C_(1)` = 12*1-11.

`C_(1)` = 1.

For n= 2,

`C_(2)` = 12*2-11.

`C_(1)` = 24 - 11 = 13.

For n = 3

`C_(3)` = 12*3-11.

`C_(3)` = 36-11 = 25.

Therefore , the sequence is C.) 1, 13, 25, 37, 49.