Question

Which of the following are examples of an arithmetic sequence?

A. 1, −3, −7, −11, −15, −19

B.2, 4, 8, 16, 32, 64

C. 10, 8, 6, 4, 2, 0

D. 5, 9, 13, 17, 19, 20

Answer 1

Given the Recursive Formula:

a1 = 10

a7 = a6 + 4

What is the common difference?

A. 10
B. 7
C. 6
D. 4

Answer 2

What is the initial term?

A. 10
B. 7
C. 6

Answer 3

What term is this formula solving for?

B. 7
C. 6

Answer 4

A. 1, −3, −7, −11, −15, −19

C. 10, 8, 6, 4, 2, 0

D. 5, 9, 13, 17, 19, 20

Answer 5

Given the recursive formula a1 = 10 and a7 = a6 + 4, we can determine the common difference by finding the difference between consecutive terms.

a6 = a7 - 4

Substituting the value of a7, we get:

a6 = a6 + 4 - 4

Simplifying, we have:

a6 = a6

This means that a6 is equal to itself. Therefore, we can conclude that the common difference is:

D. 4

Answer 6

The initial term is given by a1, which is stated in the given recursive formula.

In this case, the initial term is:

A. 10

Answer 7

The formula is solving for the term a7.

Therefore, the correct answer is:

B. 7