Write the next four terms of the sequence 27, -18,12,-8,....
multiply the last term by - 2/3 ? Try that.
But what would the next 3 be?
To find the next four terms of the sequence, we need to identify the pattern or rule in the given sequence.
Looking at the terms, we can observe that each term is obtained by multiplying the previous term by -2/3. This means that each term is obtained by multiplying the preceding term by -2/3.
Let's apply this rule to find the next terms:
Using the given sequence:
27, -18, 12, -8, ....
To get the 5th term, we multiply the 4th term (-8) by -2/3:
(-8) * (-2/3) = 16/3
So, the 5th term is 16/3.
To get the 6th term, we multiply the 5th term (16/3) by -2/3:
(16/3) * (-2/3) = -32/9
So, the 6th term is -32/9.
To get the 7th term, we multiply the 6th term (-32/9) by -2/3:
(-32/9) * (-2/3) = 64/27
So, the 7th term is 64/27.
To get the 8th term, we multiply the 7th term (64/27) by -2/3:
(64/27) * (-2/3) = -128/81
So, the 8th term is -128/81.
Therefore, the next four terms of the sequence are 16/3, -32/9, 64/27, and -128/81.