BRAINLIEST, 5 STARS AND THANKS IF ANSWERED BOTH CORRECTLY. 1. What is the 8th term of the following geometric sequence? -8, 24, -72, 216.. A. 52, 488 B. 5,832 C. 17,496 D. -17,496 2. What is the 6th term of the following geometric sequence? 2, -14, 98, -686... A. 33,614 B. -33,614 C. 235,298 D. -235,298

C; B

Step-by-step explanation:

The direct/explicit formula for a geometric sequence is the following:

Where aₙ represents the term n, a represents the initial value, and r represents the common ratio.

Therefore, to find the nth term, we just need to find the initial value and the common ratio.

1)

-8, 24, -72, 216...

The common ratio is the ratio between each consecutive term. Do two to confirm that they are indeed the same. Thus:

So, the common ratio is -3. And the initial value is -8. Thus, putting them into our equation:

Thus, the eighth term will be:

C

2)

Again, find the common ratio.

2, -14, 98, -686...

The common ratio is -7. The initial value is 2. Thus:

And the sixth term will be:

B