Find the eighth term of the sequence 5, -15, 45, -135 ...
I got -10,935
To find the eighth term of the given sequence 5, -15, 45, -135 ..., we need to identify the pattern and apply it.
Looking at the given sequence, we can observe that each term is obtained by multiplying the previous term by -3. So, to find the next term, we can multiply the previous term by -3.
Let's apply this pattern step by step:
First term: 5
Second term: -3 * 5 = -15
Third term: -3 * (-15) = 45
Fourth term: -3 * 45 = -135
We can continue this pattern:
Fifth term: -3 * (-135) = 405
Sixth term: -3 * 405 = -1215
Seventh term: -3 * (-1215) = 3645
And finally, the eighth term is found by multiplying the seventh term (-1215) by -3:
Eighth term: -3 * (-1215) = 3645
Therefore, the eighth term of the sequence 5, -15, 45, -135 ... is 3645, not -10,935.