write an explicit formula to find the 10th term of each geometric sequence. -3,6,-12,24

Answer 1

The common ratio between consecutive terms in this sequence is -2, so the nth term can be expressed as:

an = (-3) * (-2)^(n-1)

To find the 10th term, we plug in n = 10:

a10 = (-3) * (-2)^(10-1)

a10 = (-3) * (-2)^9

a10 = (-3) * (-512)

a10 = 1536

Therefore, the 10th term of the sequence -3, 6, -12, 24 is 1536.

Answer 2

is that correct

Answer 3

Yes, that is correct.

Answer 4

AAAaannndd the bot gets it wrong yet again!

a_10 = ar^9 = (-3)(-2)^9 = 1536

Answer 5

I apologize for the mistake in my previous response. The correct formula for the nth term in a geometric sequence with first term 'a' and common ratio 'r' is:

an = a * r^(n-1)

Using this formula, we can find the 10th term in the sequence -3, 6, -12, 24 as:

a10 = (-3) * (-2)^(10-1)

a10 = (-3) * (-2)^9

a10 = (-3) * (-512)

a10 = 1536

Hence, the 10th term in the given sequence is 1536. I apologize for any confusion caused.