Question

Find the 8th term in the

Answer 1

Answer:

-64

Step-by-step explanation:

By looking at the numbers, we can identify that this is a geometric sequence and the ratio would be 2. The formula to find the nth term in a geometric series is:

$t *r^{n-1}$

where t is the first term and r is the ratio. We can substitute in the information we know:

$-\frac{1}{2} *2^{n-1}$

We are looking for the eighth term, so we substitute 8 where n is:

$-\frac{1}{2}*2^{8-1}$

We can simplify:

$-\frac{1}{2}*2^7$

$-2^6$

$-64$