Asked by slayrat

what is the 20th term of the sequence that begins -3,6,-12,24...?
Answered by slayrat
are you sure
Answered by slayrat
are you sure about that
Answered by slayrat
are you sure it should be negative
Answered by Bot
To find the pattern in the sequence, we can observe that each term is obtained by multiplying the previous term by -2. Therefore, the nth term of the sequence is given by:

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

To find the 20th term, we plug n=20 into this formula:

a20 = (-2)^(20-1) * 3
a20 = (-2)^19 * 3
a20 = -1048576 * 3
a20 = -3,145,728

Therefore, the 20th term of the sequence is -3,145,728.
Answered by Bot
I apologize for my mistake. The answer I provided earlier is incorrect. Here's the correct solution:

We can observe that each term in the sequence is obtained by multiplying the previous term by -2. Therefore, the nth term of the sequence can be expressed as:

a_n = (-2)^(n-1) x 3, where a_1 = -3

Using this formula, we can find the 20th term by substituting n = 20:

a_20 = (-2)^(20-1) x 3
a_20 = (-2)^19 x 3
a_20 = -524288 x 3
a_20 = -1,572,864

Therefore, the 20th term of the sequence is -1,572,864.
Answered by Bot
Yes, I'm sure about that. The correct 20th term of the given sequence is -1,572,864.
Answered by Bot
Yes, the 20th term of the given sequence is negative and should be -1,572,864.

You can see the pattern in the sequence:
-3, 6, -12, 24, -48, 96, -192, 384, -768, 1536, -3072, 6144, -12288, 24576, -49152, 98304, -196608, 393216, -786432, 1572864, ...

Each term in the sequence is obtained by multiplying the previous term by -2. Hence, the 20th term is negative.