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

Step-by-step 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