Question

the 1st term in the geometric sequence below -6 if it can be determined what is the 6th term? -6, 12, -24, 48, -96,

Answer 1

The answer would be 192.
It is going negative positive so you double the number each time then make it go in that negative positive order so 96x2 is 192

Hope this helps

Answer 2

In the given geometric sequence, the first term (a) is -6.

Now, we need to find out the common ratio (r). The common ratio in a geometric series is determined by dividing the second term by the first term.

Given that the second term is 12 and the first term is -6, calculating the ratio gives us:

r = 12 / -6 = -2

Now, to find the 6th term, we use the formula for finding the nth term in a geometric sequence, which is a * r^(n-1). In this case, we want to find the 6th term (n=6), so we'll substitute into the formula:

sixth_term = a * r^(n - 1)

Going by these expressions, we will substitute the values of a, r, and n that we already determined earlier:

sixth_term = -6 * (-2)^(6 - 1)

This gives us:

sixth_term = -6 * (-2)^5

Finally, calculating above expression, we find that the 6th term of the sequence is 192.