Continue the pattern for three more terms. Describe how to find the successive terms.
a)12,9,6,3
b)5,6,8,11
c)3,-1,-6,-12
Please help
a) 3 us subtracted from each preceding number.
0, -3, -6
b) 1, 2, 3 . . .
c) Do you see the pattern here?
I don't know how to explain c. I know the next 3 terms is -19,-27,-36
3 - 4 = -1
To continue the pattern and find the next three terms, you need to identify the relationship between the given terms. Let's analyze each pattern individually:
a) 12, 9, 6, 3
By observing the pattern, it seems like each term is decreasing by 3. So to find the next terms, subtract 3 from the last term, which is 3.
The next three terms are: 0, -3, -6.
b) 5, 6, 8, 11
Observing the pattern in this sequence, you can see that the difference between consecutive terms is gradually increasing.
To find the next terms, add the difference of the previous terms to the last term. In this case, the differences are 1, 2, 3.
So, adding 4 to 11 (last term) gives you 15.
The next three terms are: 15, 19, 24.
c) 3, -1, -6, -12
To determine the pattern in this sequence, you can observe that each term is being decreased by a larger number every time.
To find the next terms, subtract a larger number from the previous term.
The differences between the terms are -4, -5, -6.
So, subtracting 7 from -12 (last term) gives you -19.
The next three terms are: -19, -26, -34.
By analyzing the given sequences and identifying the patterns, you can continue them by applying the relationship to find the successive terms.