Question

Find the fourth term of the sequence given by the rule tn= -2(2)^n-1 A) 32 B) -32 C)-1 6 D) 16

Answer 1

Answer: C)-16

Explanation:

We have a sequence with the following rule:

`t_((n))=-2(2)^(n-1)`

This gives us the n term of the sequence. Now, if we want to find the fourth term, we have to substitute
`n` by 4:

`t_((4))=-2(2)^(4-1)`

`t_((4))=-2(2)^(3)`

`t_((4))=-2(8)`

Finally:

`t_((4))=-16` This is the fourth term of the sequence