What are the next terms in the sequence?
-6, 5, 16, 27, ...
What is the difference between each pair of numbers?
-6 and 5 = ?
5 and 16 = ?
16 and 27 = ?
5 - ( - 6 ) = 5 + 6 = 11
16 - 5 = 11
27 - 6 = 11
This arithmetic sequence has the first term a1= - 6, and a common difference of d = 11.
an = a1 + d ( n − 1 )
an = - 6 +11 ( n − 1 )
an = - 6 +11∙ n − 11 ∙ 1
an = - 6 +11 n − 11
an = 11 n − 17
a1 = 11 ∙ 1 - 17 = 11 - 17 = - 6
a2 = 11 ∙ 2 - 17 = 22 - 17 = 5
a3 = 11 ∙ 3 - 17 = 33 - 17 = 16
a4 = 11 ∙ 4 - 17 = 44 - 17 = 27
a5 = 11 ∙ 5 - 17 = 55 - 17 = 38
a6 = 11 ∙ 6 - 17 = 66 - 17 = 49
etc.
you add 11
is this for oregon?
NO
hi is not right
i got 3 of 16
To find the next terms in the sequence, we need to identify the pattern that the numbers follow. To do this, we can look at the differences between consecutive terms.
The difference between the first and second term is 5 - (-6) = 11.
The difference between the second and third term is 16 - 5 = 11.
The difference between the third and fourth term is 27 - 16 = 11.
From this, we can see that the difference between consecutive terms is constant and equal to 11. Therefore, to find the next term, we add 11.
The fourth term in the sequence is 27. Adding 11, the next terms in the sequence are:
27 + 11 = 38
38 + 11 = 49
So, the next terms in the sequence are 38 and 49.
1. A
2.A
3.B
4.B
5.A
6.C
7.A
8.D
9.B
10.B
11.C
12.B
13.A
14.B
15.D
16.B
here are the answeres